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Finding the Fourth Proportional to 25,253.34, 37,881.18 and 9,669.84

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Solution

The fourth proportional to 25,253.34, 37,881.18 and 9,669.84 is: 14,505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,253.34 : 37,881.18 = 9,669.84 : x
  2. Step 2: Convert to fraction form
    25,253.34/37,881.18 = 9,669.84/x
  3. Step 3: Cross multiply
    25,253.34x = 37,881.18 × 9,669.84
  4. Step 4: Simplify right side
    25,253.34x = 366,304,949.61
  5. Step 5: Solve for x
    x = 366,304,949.61/25,253.34
  6. Step 6: Final answer
    x = 14,505.21

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Why These Related Problems?

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