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Finding the Fourth Proportional to 17,047.86, 25,524 and 12,874.74

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Solution

The fourth proportional to 17,047.86, 25,524 and 12,874.74 is: 19,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,047.86 : 25,524 = 12,874.74 : x
  2. Step 2: Convert to fraction form
    17,047.86/25,524 = 12,874.74/x
  3. Step 3: Cross multiply
    17,047.86x = 25,524 × 12,874.74
  4. Step 4: Simplify right side
    17,047.86x = 328,614,863.76
  5. Step 5: Solve for x
    x = 328,614,863.76/17,047.86
  6. Step 6: Final answer
    x = 19,276.02

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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.