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Finding the Fourth Proportional to 14,009.53, 19,333.16 and 7,721.91

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Solution

The fourth proportional to 14,009.53, 19,333.16 and 7,721.91 is: 10,656.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.53 : 19,333.16 = 7,721.91 : x
  2. Step 2: Convert to fraction form
    14,009.53/19,333.16 = 7,721.91/x
  3. Step 3: Cross multiply
    14,009.53x = 19,333.16 × 7,721.91
  4. Step 4: Simplify right side
    14,009.53x = 149,288,921.54
  5. Step 5: Solve for x
    x = 149,288,921.54/14,009.53
  6. Step 6: Final answer
    x = 10,656.24

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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.