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Finding the Fourth Proportional to 12,841.86, 17,720.91 and 7,252.50

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Solution

The fourth proportional to 12,841.86, 17,720.91 and 7,252.50 is: 10,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.86 : 17,720.91 = 7,252.50 : x
  2. Step 2: Convert to fraction form
    12,841.86/17,720.91 = 7,252.50/x
  3. Step 3: Cross multiply
    12,841.86x = 17,720.91 × 7,252.50
  4. Step 4: Simplify right side
    12,841.86x = 128,520,899.78
  5. Step 5: Solve for x
    x = 128,520,899.78/12,841.86
  6. Step 6: Final answer
    x = 10,007.97

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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.