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Finding the Fourth Proportional to 16,158.12, 24,238.08 and 6,296.57

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Solution

The fourth proportional to 16,158.12, 24,238.08 and 6,296.57 is: 9,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,158.12 : 24,238.08 = 6,296.57 : x
  2. Step 2: Convert to fraction form
    16,158.12/24,238.08 = 6,296.57/x
  3. Step 3: Cross multiply
    16,158.12x = 24,238.08 × 6,296.57
  4. Step 4: Simplify right side
    16,158.12x = 152,616,646.20
  5. Step 5: Solve for x
    x = 152,616,646.20/16,158.12
  6. Step 6: Final answer
    x = 9,445.20

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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.