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Finding the Fourth Proportional to 22,472.82, 31,019.49 and 14,094.18

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Solution

The fourth proportional to 22,472.82, 31,019.49 and 14,094.18 is: 19,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.82 : 31,019.49 = 14,094.18 : x
  2. Step 2: Convert to fraction form
    22,472.82/31,019.49 = 14,094.18/x
  3. Step 3: Cross multiply
    22,472.82x = 31,019.49 × 14,094.18
  4. Step 4: Simplify right side
    22,472.82x = 437,194,275.57
  5. Step 5: Solve for x
    x = 437,194,275.57/22,472.82
  6. Step 6: Final answer
    x = 19,454.36

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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.