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Finding the Fourth Proportional to 17,264.97, 25,897.05 and 8,497.53

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Solution

The fourth proportional to 17,264.97, 25,897.05 and 8,497.53 is: 12,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,264.97 : 25,897.05 = 8,497.53 : x
  2. Step 2: Convert to fraction form
    17,264.97/25,897.05 = 8,497.53/x
  3. Step 3: Cross multiply
    17,264.97x = 25,897.05 × 8,497.53
  4. Step 4: Simplify right side
    17,264.97x = 220,060,959.29
  5. Step 5: Solve for x
    x = 220,060,959.29/17,264.97
  6. Step 6: Final answer
    x = 12,746.10

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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.