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Finding the Fourth Proportional to 12,849.86, 17,732.12 and 7,260.50

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Solution

The fourth proportional to 12,849.86, 17,732.12 and 7,260.50 is: 10,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849.86 : 17,732.12 = 7,260.50 : x
  2. Step 2: Convert to fraction form
    12,849.86/17,732.12 = 7,260.50/x
  3. Step 3: Cross multiply
    12,849.86x = 17,732.12 × 7,260.50
  4. Step 4: Simplify right side
    12,849.86x = 128,744,057.26
  5. Step 5: Solve for x
    x = 128,744,057.26/12,849.86
  6. Step 6: Final answer
    x = 10,019.10

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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.