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Finding the Fourth Proportional to 22,502.25, 31,053.11 and 13,071.42

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Solution

The fourth proportional to 22,502.25, 31,053.11 and 13,071.42 is: 18,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.25 : 31,053.11 = 13,071.42 : x
  2. Step 2: Convert to fraction form
    22,502.25/31,053.11 = 13,071.42/x
  3. Step 3: Cross multiply
    22,502.25x = 31,053.11 × 13,071.42
  4. Step 4: Simplify right side
    22,502.25x = 405,908,177.76
  5. Step 5: Solve for x
    x = 405,908,177.76/22,502.25
  6. Step 6: Final answer
    x = 18,038.56

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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.