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Finding the Fourth Proportional to 24,198.66, 36,312 and 10,157.46

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Solution

The fourth proportional to 24,198.66, 36,312 and 10,157.46 is: 15,242.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.66 : 36,312 = 10,157.46 : x
  2. Step 2: Convert to fraction form
    24,198.66/36,312 = 10,157.46/x
  3. Step 3: Cross multiply
    24,198.66x = 36,312 × 10,157.46
  4. Step 4: Simplify right side
    24,198.66x = 368,837,687.52
  5. Step 5: Solve for x
    x = 368,837,687.52/24,198.66
  6. Step 6: Final answer
    x = 15,242.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.