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Finding the Fourth Proportional to 15,002.97, 20,702.32 and 8,288.20

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Solution

The fourth proportional to 15,002.97, 20,702.32 and 8,288.20 is: 11,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,002.97 : 20,702.32 = 8,288.20 : x
  2. Step 2: Convert to fraction form
    15,002.97/20,702.32 = 8,288.20/x
  3. Step 3: Cross multiply
    15,002.97x = 20,702.32 × 8,288.20
  4. Step 4: Simplify right side
    15,002.97x = 171,584,823.67
  5. Step 5: Solve for x
    x = 171,584,823.67/15,002.97
  6. Step 6: Final answer
    x = 11,436.72

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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.