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Finding the Fourth Proportional to 24,254.58, 36,395.82 and 10,213.50

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Solution

The fourth proportional to 24,254.58, 36,395.82 and 10,213.50 is: 15,326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,254.58 : 36,395.82 = 10,213.50 : x
  2. Step 2: Convert to fraction form
    24,254.58/36,395.82 = 10,213.50/x
  3. Step 3: Cross multiply
    24,254.58x = 36,395.82 × 10,213.50
  4. Step 4: Simplify right side
    24,254.58x = 371,728,707.57
  5. Step 5: Solve for x
    x = 371,728,707.57/24,254.58
  6. Step 6: Final answer
    x = 15,326.12

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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.