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Finding the Fourth Proportional to 26,549.38, 39,842.16 and 10,966.90

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Solution

The fourth proportional to 26,549.38, 39,842.16 and 10,966.90 is: 16,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,549.38 : 39,842.16 = 10,966.90 : x
  2. Step 2: Convert to fraction form
    26,549.38/39,842.16 = 10,966.90/x
  3. Step 3: Cross multiply
    26,549.38x = 39,842.16 × 10,966.90
  4. Step 4: Simplify right side
    26,549.38x = 436,944,984.50
  5. Step 5: Solve for x
    x = 436,944,984.50/26,549.38
  6. Step 6: Final answer
    x = 16,457.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.