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Finding the Fourth Proportional to 24,109.10, 36,166.08 and 8,312.05

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Solution

The fourth proportional to 24,109.10, 36,166.08 and 8,312.05 is: 12,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,109.10 : 36,166.08 = 8,312.05 : x
  2. Step 2: Convert to fraction form
    24,109.10/36,166.08 = 8,312.05/x
  3. Step 3: Cross multiply
    24,109.10x = 36,166.08 × 8,312.05
  4. Step 4: Simplify right side
    24,109.10x = 300,614,265.26
  5. Step 5: Solve for x
    x = 300,614,265.26/24,109.10
  6. Step 6: Final answer
    x = 12,468.91

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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.