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Finding the Fourth Proportional to 13,712.92, 18,913.96 and 8,924

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Solution

The fourth proportional to 13,712.92, 18,913.96 and 8,924 is: 12,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.92 : 18,913.96 = 8,924 : x
  2. Step 2: Convert to fraction form
    13,712.92/18,913.96 = 8,924/x
  3. Step 3: Cross multiply
    13,712.92x = 18,913.96 × 8,924
  4. Step 4: Simplify right side
    13,712.92x = 168,788,179.04
  5. Step 5: Solve for x
    x = 168,788,179.04/13,712.92
  6. Step 6: Final answer
    x = 12,308.70

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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.