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Finding the Fourth Proportional to 24,143.50, 36,221.17 and 19,505.53

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Solution

The fourth proportional to 24,143.50, 36,221.17 and 19,505.53 is: 29,263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,143.50 : 36,221.17 = 19,505.53 : x
  2. Step 2: Convert to fraction form
    24,143.50/36,221.17 = 19,505.53/x
  3. Step 3: Cross multiply
    24,143.50x = 36,221.17 × 19,505.53
  4. Step 4: Simplify right side
    24,143.50x = 706,513,118.07
  5. Step 5: Solve for x
    x = 706,513,118.07/24,143.50
  6. Step 6: Final answer
    x = 29,263.08

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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.