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Finding the Fourth Proportional to 14,527.68, 20,045.13 and 9,499.29

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Solution

The fourth proportional to 14,527.68, 20,045.13 and 9,499.29 is: 13,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527.68 : 20,045.13 = 9,499.29 : x
  2. Step 2: Convert to fraction form
    14,527.68/20,045.13 = 9,499.29/x
  3. Step 3: Cross multiply
    14,527.68x = 20,045.13 × 9,499.29
  4. Step 4: Simplify right side
    14,527.68x = 190,414,502.96
  5. Step 5: Solve for x
    x = 190,414,502.96/14,527.68
  6. Step 6: Final answer
    x = 13,107.01

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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.