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Finding the Fourth Proportional to 16,648.32, 24,956.28 and 13,534.68

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Solution

The fourth proportional to 16,648.32, 24,956.28 and 13,534.68 is: 20,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,648.32 : 24,956.28 = 13,534.68 : x
  2. Step 2: Convert to fraction form
    16,648.32/24,956.28 = 13,534.68/x
  3. Step 3: Cross multiply
    16,648.32x = 24,956.28 × 13,534.68
  4. Step 4: Simplify right side
    16,648.32x = 337,775,263.79
  5. Step 5: Solve for x
    x = 337,775,263.79/16,648.32
  6. Step 6: Final answer
    x = 20,288.85

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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.