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Finding the Fourth Proportional to 24,145.58, 36,225.92 and 10,829.74

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Solution

The fourth proportional to 24,145.58, 36,225.92 and 10,829.74 is: 16,248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,145.58 : 36,225.92 = 10,829.74 : x
  2. Step 2: Convert to fraction form
    24,145.58/36,225.92 = 10,829.74/x
  3. Step 3: Cross multiply
    24,145.58x = 36,225.92 × 10,829.74
  4. Step 4: Simplify right side
    24,145.58x = 392,317,294.86
  5. Step 5: Solve for x
    x = 392,317,294.86/24,145.58
  6. Step 6: Final answer
    x = 16,248.00

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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.