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Finding the Fourth Proportional to 25,728.52, 35,508.52 and 15,658

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Solution

The fourth proportional to 25,728.52, 35,508.52 and 15,658 is: 21,609.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,728.52 : 35,508.52 = 15,658 : x
  2. Step 2: Convert to fraction form
    25,728.52/35,508.52 = 15,658/x
  3. Step 3: Cross multiply
    25,728.52x = 35,508.52 × 15,658
  4. Step 4: Simplify right side
    25,728.52x = 555,992,406.16
  5. Step 5: Solve for x
    x = 555,992,406.16/25,728.52
  6. Step 6: Final answer
    x = 21,609.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.