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Finding the Fourth Proportional to 15,647.57, 23,440.08 and 9,404.20

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Solution

The fourth proportional to 15,647.57, 23,440.08 and 9,404.20 is: 14,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,647.57 : 23,440.08 = 9,404.20 : x
  2. Step 2: Convert to fraction form
    15,647.57/23,440.08 = 9,404.20/x
  3. Step 3: Cross multiply
    15,647.57x = 23,440.08 × 9,404.20
  4. Step 4: Simplify right side
    15,647.57x = 220,435,141.74
  5. Step 5: Solve for x
    x = 220,435,141.74/15,647.57
  6. Step 6: Final answer
    x = 14,087.50

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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.