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Finding the Fourth Proportional to 24,186.65, 36,186.10 and 21,202.65

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Solution

The fourth proportional to 24,186.65, 36,186.10 and 21,202.65 is: 31,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,186.65 : 36,186.10 = 21,202.65 : x
  2. Step 2: Convert to fraction form
    24,186.65/36,186.10 = 21,202.65/x
  3. Step 3: Cross multiply
    24,186.65x = 36,186.10 × 21,202.65
  4. Step 4: Simplify right side
    24,186.65x = 767,241,213.17
  5. Step 5: Solve for x
    x = 767,241,213.17/24,186.65
  6. Step 6: Final answer
    x = 31,721.68

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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.