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Finding the Fourth Proportional to 12,097.92, 16,698.24 and 10,248.96

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Solution

The fourth proportional to 12,097.92, 16,698.24 and 10,248.96 is: 14,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.92 : 16,698.24 = 10,248.96 : x
  2. Step 2: Convert to fraction form
    12,097.92/16,698.24 = 10,248.96/x
  3. Step 3: Cross multiply
    12,097.92x = 16,698.24 × 10,248.96
  4. Step 4: Simplify right side
    12,097.92x = 171,139,593.83
  5. Step 5: Solve for x
    x = 171,139,593.83/12,097.92
  6. Step 6: Final answer
    x = 14,146.20

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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.