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Finding the Fourth Proportional to 22,689.80, 31,313.14 and 13,263.88

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Solution

The fourth proportional to 22,689.80, 31,313.14 and 13,263.88 is: 18,304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,689.80 : 31,313.14 = 13,263.88 : x
  2. Step 2: Convert to fraction form
    22,689.80/31,313.14 = 13,263.88/x
  3. Step 3: Cross multiply
    22,689.80x = 31,313.14 × 13,263.88
  4. Step 4: Simplify right side
    22,689.80x = 415,333,731.38
  5. Step 5: Solve for x
    x = 415,333,731.38/22,689.80
  6. Step 6: Final answer
    x = 18,304.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.