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Finding the Fourth Proportional to 17,576.86, 24,255.89 and 10,024.42

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Solution

The fourth proportional to 17,576.86, 24,255.89 and 10,024.42 is: 13,833.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,576.86 : 24,255.89 = 10,024.42 : x
  2. Step 2: Convert to fraction form
    17,576.86/24,255.89 = 10,024.42/x
  3. Step 3: Cross multiply
    17,576.86x = 24,255.89 × 10,024.42
  4. Step 4: Simplify right side
    17,576.86x = 243,151,178.71
  5. Step 5: Solve for x
    x = 243,151,178.71/17,576.86
  6. Step 6: Final answer
    x = 13,833.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.