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Finding the Fourth Proportional to 15,753.12, 23,626.92 and 5,890.35

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Solution

The fourth proportional to 15,753.12, 23,626.92 and 5,890.35 is: 8,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,753.12 : 23,626.92 = 5,890.35 : x
  2. Step 2: Convert to fraction form
    15,753.12/23,626.92 = 5,890.35/x
  3. Step 3: Cross multiply
    15,753.12x = 23,626.92 × 5,890.35
  4. Step 4: Simplify right side
    15,753.12x = 139,170,938.91
  5. Step 5: Solve for x
    x = 139,170,938.91/15,753.12
  6. Step 6: Final answer
    x = 8,834.50

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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.