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Finding the Fourth Proportional to 24,064.75, 36,111.71 and 10,213.75

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Solution

The fourth proportional to 24,064.75, 36,111.71 and 10,213.75 is: 15,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,064.75 : 36,111.71 = 10,213.75 : x
  2. Step 2: Convert to fraction form
    24,064.75/36,111.71 = 10,213.75/x
  3. Step 3: Cross multiply
    24,064.75x = 36,111.71 × 10,213.75
  4. Step 4: Simplify right side
    24,064.75x = 368,835,978.01
  5. Step 5: Solve for x
    x = 368,835,978.01/24,064.75
  6. Step 6: Final answer
    x = 15,326.82

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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.