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Finding the Fourth Proportional to 12,627.84, 17,425.52 and 7,592.24

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Solution

The fourth proportional to 12,627.84, 17,425.52 and 7,592.24 is: 10,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,627.84 : 17,425.52 = 7,592.24 : x
  2. Step 2: Convert to fraction form
    12,627.84/17,425.52 = 7,592.24/x
  3. Step 3: Cross multiply
    12,627.84x = 17,425.52 × 7,592.24
  4. Step 4: Simplify right side
    12,627.84x = 132,298,729.96
  5. Step 5: Solve for x
    x = 132,298,729.96/12,627.84
  6. Step 6: Final answer
    x = 10,476.75

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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.