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Finding the Fourth Proportional to 26,596, 36,697.62 and 15,988.24

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Solution

The fourth proportional to 26,596, 36,697.62 and 15,988.24 is: 22,060.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,596 : 36,697.62 = 15,988.24 : x
  2. Step 2: Convert to fraction form
    26,596/36,697.62 = 15,988.24/x
  3. Step 3: Cross multiply
    26,596x = 36,697.62 × 15,988.24
  4. Step 4: Simplify right side
    26,596x = 586,730,355.99
  5. Step 5: Solve for x
    x = 586,730,355.99/26,596
  6. Step 6: Final answer
    x = 22,060.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.