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Finding the Fourth Proportional to 22,502.25, 31,053.12 and 12,566.25

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Solution

The fourth proportional to 22,502.25, 31,053.12 and 12,566.25 is: 17,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.25 : 31,053.12 = 12,566.25 : x
  2. Step 2: Convert to fraction form
    22,502.25/31,053.12 = 12,566.25/x
  3. Step 3: Cross multiply
    22,502.25x = 31,053.12 × 12,566.25
  4. Step 4: Simplify right side
    22,502.25x = 390,221,269.20
  5. Step 5: Solve for x
    x = 390,221,269.20/22,502.25
  6. Step 6: Final answer
    x = 17,341.43

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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.