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Finding the Fourth Proportional to 23,627.52, 32,627.04 and 17,649

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Solution

The fourth proportional to 23,627.52, 32,627.04 and 17,649 is: 24,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,627.52 : 32,627.04 = 17,649 : x
  2. Step 2: Convert to fraction form
    23,627.52/32,627.04 = 17,649/x
  3. Step 3: Cross multiply
    23,627.52x = 32,627.04 × 17,649
  4. Step 4: Simplify right side
    23,627.52x = 575,834,628.96
  5. Step 5: Solve for x
    x = 575,834,628.96/23,627.52
  6. Step 6: Final answer
    x = 24,371.35

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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.