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Finding the Fourth Proportional to 14,410.76, 19,889.94 and 9,102.20

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Solution

The fourth proportional to 14,410.76, 19,889.94 and 9,102.20 is: 12,562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.76 : 19,889.94 = 9,102.20 : x
  2. Step 2: Convert to fraction form
    14,410.76/19,889.94 = 9,102.20/x
  3. Step 3: Cross multiply
    14,410.76x = 19,889.94 × 9,102.20
  4. Step 4: Simplify right side
    14,410.76x = 181,042,211.87
  5. Step 5: Solve for x
    x = 181,042,211.87/14,410.76
  6. Step 6: Final answer
    x = 12,562.99

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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.