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Finding the Fourth Proportional to 16,264.55, 22,448.75 and 9,195.05

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Solution

The fourth proportional to 16,264.55, 22,448.75 and 9,195.05 is: 12,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.55 : 22,448.75 = 9,195.05 : x
  2. Step 2: Convert to fraction form
    16,264.55/22,448.75 = 9,195.05/x
  3. Step 3: Cross multiply
    16,264.55x = 22,448.75 × 9,195.05
  4. Step 4: Simplify right side
    16,264.55x = 206,417,220.47
  5. Step 5: Solve for x
    x = 206,417,220.47/16,264.55
  6. Step 6: Final answer
    x = 12,691.24

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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.