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Finding the Fourth Proportional to 15,737.40, 23,600.16 and 5,874.48

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Solution

The fourth proportional to 15,737.40, 23,600.16 and 5,874.48 is: 8,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.40 : 23,600.16 = 5,874.48 : x
  2. Step 2: Convert to fraction form
    15,737.40/23,600.16 = 5,874.48/x
  3. Step 3: Cross multiply
    15,737.40x = 23,600.16 × 5,874.48
  4. Step 4: Simplify right side
    15,737.40x = 138,638,667.92
  5. Step 5: Solve for x
    x = 138,638,667.92/15,737.40
  6. Step 6: Final answer
    x = 8,809.50

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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.