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Finding the Fourth Proportional to 13,717.14, 18,929.74 and 7,429.52

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Solution

The fourth proportional to 13,717.14, 18,929.74 and 7,429.52 is: 10,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.14 : 18,929.74 = 7,429.52 : x
  2. Step 2: Convert to fraction form
    13,717.14/18,929.74 = 7,429.52/x
  3. Step 3: Cross multiply
    13,717.14x = 18,929.74 × 7,429.52
  4. Step 4: Simplify right side
    13,717.14x = 140,638,853.17
  5. Step 5: Solve for x
    x = 140,638,853.17/13,717.14
  6. Step 6: Final answer
    x = 10,252.78

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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.