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Finding the Fourth Proportional to 16,294.32, 24,422.67 and 7,510.86

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Solution

The fourth proportional to 16,294.32, 24,422.67 and 7,510.86 is: 11,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.32 : 24,422.67 = 7,510.86 : x
  2. Step 2: Convert to fraction form
    16,294.32/24,422.67 = 7,510.86/x
  3. Step 3: Cross multiply
    16,294.32x = 24,422.67 × 7,510.86
  4. Step 4: Simplify right side
    16,294.32x = 183,435,255.20
  5. Step 5: Solve for x
    x = 183,435,255.20/16,294.32
  6. Step 6: Final answer
    x = 11,257.62

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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.