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Finding the Fourth Proportional to 15,648.72, 23,436 and 13,585.68

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Solution

The fourth proportional to 15,648.72, 23,436 and 13,585.68 is: 20,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,648.72 : 23,436 = 13,585.68 : x
  2. Step 2: Convert to fraction form
    15,648.72/23,436 = 13,585.68/x
  3. Step 3: Cross multiply
    15,648.72x = 23,436 × 13,585.68
  4. Step 4: Simplify right side
    15,648.72x = 318,393,996.48
  5. Step 5: Solve for x
    x = 318,393,996.48/15,648.72
  6. Step 6: Final answer
    x = 20,346.33

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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.