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Finding the Fourth Proportional to 16,348.96, 22,560.90 and 9,275.24

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Solution

The fourth proportional to 16,348.96, 22,560.90 and 9,275.24 is: 12,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348.96 : 22,560.90 = 9,275.24 : x
  2. Step 2: Convert to fraction form
    16,348.96/22,560.90 = 9,275.24/x
  3. Step 3: Cross multiply
    16,348.96x = 22,560.90 × 9,275.24
  4. Step 4: Simplify right side
    16,348.96x = 209,257,762.12
  5. Step 5: Solve for x
    x = 209,257,762.12/16,348.96
  6. Step 6: Final answer
    x = 12,799.45

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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.