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Finding the Fourth Proportional to 16,307.57, 22,508.48 and 9,238.16

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Solution

The fourth proportional to 16,307.57, 22,508.48 and 9,238.16 is: 12,750.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.57 : 22,508.48 = 9,238.16 : x
  2. Step 2: Convert to fraction form
    16,307.57/22,508.48 = 9,238.16/x
  3. Step 3: Cross multiply
    16,307.57x = 22,508.48 × 9,238.16
  4. Step 4: Simplify right side
    16,307.57x = 207,936,939.60
  5. Step 5: Solve for x
    x = 207,936,939.60/16,307.57
  6. Step 6: Final answer
    x = 12,750.95

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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.