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Finding the Fourth Proportional to 12,132.87, 16,737.71 and 7,097.28

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Solution

The fourth proportional to 12,132.87, 16,737.71 and 7,097.28 is: 9,790.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.87 : 16,737.71 = 7,097.28 : x
  2. Step 2: Convert to fraction form
    12,132.87/16,737.71 = 7,097.28/x
  3. Step 3: Cross multiply
    12,132.87x = 16,737.71 × 7,097.28
  4. Step 4: Simplify right side
    12,132.87x = 118,792,178.94
  5. Step 5: Solve for x
    x = 118,792,178.94/12,132.87
  6. Step 6: Final answer
    x = 9,790.94

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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.