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Finding the Fourth Proportional to 14,081.74, 19,432.51 and 7,708.17

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Solution

The fourth proportional to 14,081.74, 19,432.51 and 7,708.17 is: 10,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,081.74 : 19,432.51 = 7,708.17 : x
  2. Step 2: Convert to fraction form
    14,081.74/19,432.51 = 7,708.17/x
  3. Step 3: Cross multiply
    14,081.74x = 19,432.51 × 7,708.17
  4. Step 4: Simplify right side
    14,081.74x = 149,789,144.21
  5. Step 5: Solve for x
    x = 149,789,144.21/14,081.74
  6. Step 6: Final answer
    x = 10,637.12

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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.