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Finding the Fourth Proportional to 12,737.57, 17,577.76 and 7,072.34

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Solution

The fourth proportional to 12,737.57, 17,577.76 and 7,072.34 is: 9,759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.57 : 17,577.76 = 7,072.34 : x
  2. Step 2: Convert to fraction form
    12,737.57/17,577.76 = 7,072.34/x
  3. Step 3: Cross multiply
    12,737.57x = 17,577.76 × 7,072.34
  4. Step 4: Simplify right side
    12,737.57x = 124,315,895.16
  5. Step 5: Solve for x
    x = 124,315,895.16/12,737.57
  6. Step 6: Final answer
    x = 9,759.78

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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.