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Finding the Fourth Proportional to 17,281.22, 25,897.52 and 9,874.58

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Solution

The fourth proportional to 17,281.22, 25,897.52 and 9,874.58 is: 14,797.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,281.22 : 25,897.52 = 9,874.58 : x
  2. Step 2: Convert to fraction form
    17,281.22/25,897.52 = 9,874.58/x
  3. Step 3: Cross multiply
    17,281.22x = 25,897.52 × 9,874.58
  4. Step 4: Simplify right side
    17,281.22x = 255,727,133.04
  5. Step 5: Solve for x
    x = 255,727,133.04/17,281.22
  6. Step 6: Final answer
    x = 14,797.98

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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.