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Finding the Fourth Proportional to 15,636.32, 23,463.72 and 5,782.52

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Solution

The fourth proportional to 15,636.32, 23,463.72 and 5,782.52 is: 8,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,636.32 : 23,463.72 = 5,782.52 : x
  2. Step 2: Convert to fraction form
    15,636.32/23,463.72 = 5,782.52/x
  3. Step 3: Cross multiply
    15,636.32x = 23,463.72 × 5,782.52
  4. Step 4: Simplify right side
    15,636.32x = 135,679,430.17
  5. Step 5: Solve for x
    x = 135,679,430.17/15,636.32
  6. Step 6: Final answer
    x = 8,677.20

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