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Finding the Fourth Proportional to 26,684.86, 40,013.70 and 8,909.14

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Solution

The fourth proportional to 26,684.86, 40,013.70 and 8,909.14 is: 13,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,684.86 : 40,013.70 = 8,909.14 : x
  2. Step 2: Convert to fraction form
    26,684.86/40,013.70 = 8,909.14/x
  3. Step 3: Cross multiply
    26,684.86x = 40,013.70 × 8,909.14
  4. Step 4: Simplify right side
    26,684.86x = 356,487,655.22
  5. Step 5: Solve for x
    x = 356,487,655.22/26,684.86
  6. Step 6: Final answer
    x = 13,359.17

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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.