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Finding the Fourth Proportional to 16,233.10, 24,349.65 and 8,457.10

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Solution

The fourth proportional to 16,233.10, 24,349.65 and 8,457.10 is: 12,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.10 : 24,349.65 = 8,457.10 : x
  2. Step 2: Convert to fraction form
    16,233.10/24,349.65 = 8,457.10/x
  3. Step 3: Cross multiply
    16,233.10x = 24,349.65 × 8,457.10
  4. Step 4: Simplify right side
    16,233.10x = 205,927,425.02
  5. Step 5: Solve for x
    x = 205,927,425.02/16,233.10
  6. Step 6: Final answer
    x = 12,685.65

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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.