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Finding the Fourth Proportional to 16,234.30, 24,334.65 and 8,823.10

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Solution

The fourth proportional to 16,234.30, 24,334.65 and 8,823.10 is: 13,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.30 : 24,334.65 = 8,823.10 : x
  2. Step 2: Convert to fraction form
    16,234.30/24,334.65 = 8,823.10/x
  3. Step 3: Cross multiply
    16,234.30x = 24,334.65 × 8,823.10
  4. Step 4: Simplify right side
    16,234.30x = 214,707,050.42
  5. Step 5: Solve for x
    x = 214,707,050.42/16,234.30
  6. Step 6: Final answer
    x = 13,225.52

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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.