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Finding the Fourth Proportional to 17,737.49, 26,581.52 and 8,962.16

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Solution

The fourth proportional to 17,737.49, 26,581.52 and 8,962.16 is: 13,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.49 : 26,581.52 = 8,962.16 : x
  2. Step 2: Convert to fraction form
    17,737.49/26,581.52 = 8,962.16/x
  3. Step 3: Cross multiply
    17,737.49x = 26,581.52 × 8,962.16
  4. Step 4: Simplify right side
    17,737.49x = 238,227,657.56
  5. Step 5: Solve for x
    x = 238,227,657.56/17,737.49
  6. Step 6: Final answer
    x = 13,430.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.