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Finding the Fourth Proportional to 22,502.75, 31,053.81 and 12,566.75

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Solution

The fourth proportional to 22,502.75, 31,053.81 and 12,566.75 is: 17,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.75 : 31,053.81 = 12,566.75 : x
  2. Step 2: Convert to fraction form
    22,502.75/31,053.81 = 12,566.75/x
  3. Step 3: Cross multiply
    22,502.75x = 31,053.81 × 12,566.75
  4. Step 4: Simplify right side
    22,502.75x = 390,245,466.82
  5. Step 5: Solve for x
    x = 390,245,466.82/22,502.75
  6. Step 6: Final answer
    x = 17,342.12

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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.