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Finding the Fourth Proportional to 14,414.68, 19,896.06 and 9,939.16

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Solution

The fourth proportional to 14,414.68, 19,896.06 and 9,939.16 is: 13,718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.68 : 19,896.06 = 9,939.16 : x
  2. Step 2: Convert to fraction form
    14,414.68/19,896.06 = 9,939.16/x
  3. Step 3: Cross multiply
    14,414.68x = 19,896.06 × 9,939.16
  4. Step 4: Simplify right side
    14,414.68x = 197,750,123.71
  5. Step 5: Solve for x
    x = 197,750,123.71/14,414.68
  6. Step 6: Final answer
    x = 13,718.66

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