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Finding the Fourth Proportional to 14,009.76, 19,333.10 and 7,722.16

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Solution

The fourth proportional to 14,009.76, 19,333.10 and 7,722.16 is: 10,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.76 : 19,333.10 = 7,722.16 : x
  2. Step 2: Convert to fraction form
    14,009.76/19,333.10 = 7,722.16/x
  3. Step 3: Cross multiply
    14,009.76x = 19,333.10 × 7,722.16
  4. Step 4: Simplify right side
    14,009.76x = 149,293,291.50
  5. Step 5: Solve for x
    x = 149,293,291.50/14,009.76
  6. Step 6: Final answer
    x = 10,656.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.