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Finding the Fourth Proportional to 12,073.92, 16,637.04 and 9,706.56

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Solution

The fourth proportional to 12,073.92, 16,637.04 and 9,706.56 is: 13,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.92 : 16,637.04 = 9,706.56 : x
  2. Step 2: Convert to fraction form
    12,073.92/16,637.04 = 9,706.56/x
  3. Step 3: Cross multiply
    12,073.92x = 16,637.04 × 9,706.56
  4. Step 4: Simplify right side
    12,073.92x = 161,488,426.98
  5. Step 5: Solve for x
    x = 161,488,426.98/12,073.92
  6. Step 6: Final answer
    x = 13,374.98

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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.