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Finding the Fourth Proportional to 22,689.24, 31,302.80 and 13,733.46

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Solution

The fourth proportional to 22,689.24, 31,302.80 and 13,733.46 is: 18,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,689.24 : 31,302.80 = 13,733.46 : x
  2. Step 2: Convert to fraction form
    22,689.24/31,302.80 = 13,733.46/x
  3. Step 3: Cross multiply
    22,689.24x = 31,302.80 × 13,733.46
  4. Step 4: Simplify right side
    22,689.24x = 429,895,751.69
  5. Step 5: Solve for x
    x = 429,895,751.69/22,689.24
  6. Step 6: Final answer
    x = 18,947.12

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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.