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Finding the Fourth Proportional to 20,689.49, 31,034.18 and 7,536.48

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Solution

The fourth proportional to 20,689.49, 31,034.18 and 7,536.48 is: 11,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,689.49 : 31,034.18 = 7,536.48 : x
  2. Step 2: Convert to fraction form
    20,689.49/31,034.18 = 7,536.48/x
  3. Step 3: Cross multiply
    20,689.49x = 31,034.18 × 7,536.48
  4. Step 4: Simplify right side
    20,689.49x = 233,888,476.89
  5. Step 5: Solve for x
    x = 233,888,476.89/20,689.49
  6. Step 6: Final answer
    x = 11,304.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.