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Finding the Fourth Proportional to 15,502, 23,252.92 and 8,591.12

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Solution

The fourth proportional to 15,502, 23,252.92 and 8,591.12 is: 12,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502 : 23,252.92 = 8,591.12 : x
  2. Step 2: Convert to fraction form
    15,502/23,252.92 = 8,591.12/x
  3. Step 3: Cross multiply
    15,502x = 23,252.92 × 8,591.12
  4. Step 4: Simplify right side
    15,502x = 199,768,626.07
  5. Step 5: Solve for x
    x = 199,768,626.07/15,502
  6. Step 6: Final answer
    x = 12,886.64

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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.