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Finding the Fourth Proportional to 16,408.56, 24,610.72 and 5,314.13

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Solution

The fourth proportional to 16,408.56, 24,610.72 and 5,314.13 is: 7,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.56 : 24,610.72 = 5,314.13 : x
  2. Step 2: Convert to fraction form
    16,408.56/24,610.72 = 5,314.13/x
  3. Step 3: Cross multiply
    16,408.56x = 24,610.72 × 5,314.13
  4. Step 4: Simplify right side
    16,408.56x = 130,784,565.47
  5. Step 5: Solve for x
    x = 130,784,565.47/16,408.56
  6. Step 6: Final answer
    x = 7,970.51

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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.