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Finding the Fourth Proportional to 26,341.62, 36,347.85 and 15,729

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Solution

The fourth proportional to 26,341.62, 36,347.85 and 15,729 is: 21,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,341.62 : 36,347.85 = 15,729 : x
  2. Step 2: Convert to fraction form
    26,341.62/36,347.85 = 15,729/x
  3. Step 3: Cross multiply
    26,341.62x = 36,347.85 × 15,729
  4. Step 4: Simplify right side
    26,341.62x = 571,715,332.65
  5. Step 5: Solve for x
    x = 571,715,332.65/26,341.62
  6. Step 6: Final answer
    x = 21,703.88

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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.