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Finding the Fourth Proportional to 16,307.54, 24,461.28 and 6,449.18

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Solution

The fourth proportional to 16,307.54, 24,461.28 and 6,449.18 is: 9,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.54 : 24,461.28 = 6,449.18 : x
  2. Step 2: Convert to fraction form
    16,307.54/24,461.28 = 6,449.18/x
  3. Step 3: Cross multiply
    16,307.54x = 24,461.28 × 6,449.18
  4. Step 4: Simplify right side
    16,307.54x = 157,755,197.75
  5. Step 5: Solve for x
    x = 157,755,197.75/16,307.54
  6. Step 6: Final answer
    x = 9,673.76

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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.