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Finding the Fourth Proportional to 17,463.06, 24,098.45 and 9,909

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Solution

The fourth proportional to 17,463.06, 24,098.45 and 9,909 is: 13,674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,463.06 : 24,098.45 = 9,909 : x
  2. Step 2: Convert to fraction form
    17,463.06/24,098.45 = 9,909/x
  3. Step 3: Cross multiply
    17,463.06x = 24,098.45 × 9,909
  4. Step 4: Simplify right side
    17,463.06x = 238,791,491.51
  5. Step 5: Solve for x
    x = 238,791,491.51/17,463.06
  6. Step 6: Final answer
    x = 13,674.09

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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.