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Finding the Fourth Proportional to 24,142, 36,216.24 and 10,294.24

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Solution

The fourth proportional to 24,142, 36,216.24 and 10,294.24 is: 15,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142 : 36,216.24 = 10,294.24 : x
  2. Step 2: Convert to fraction form
    24,142/36,216.24 = 10,294.24/x
  3. Step 3: Cross multiply
    24,142x = 36,216.24 × 10,294.24
  4. Step 4: Simplify right side
    24,142x = 372,818,666.46
  5. Step 5: Solve for x
    x = 372,818,666.46/24,142
  6. Step 6: Final answer
    x = 15,442.74

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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.