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Finding the Fourth Proportional to 24,509.08, 36,770.10 and 12,819.16

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Solution

The fourth proportional to 24,509.08, 36,770.10 and 12,819.16 is: 19,232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.08 : 36,770.10 = 12,819.16 : x
  2. Step 2: Convert to fraction form
    24,509.08/36,770.10 = 12,819.16/x
  3. Step 3: Cross multiply
    24,509.08x = 36,770.10 × 12,819.16
  4. Step 4: Simplify right side
    24,509.08x = 471,361,795.12
  5. Step 5: Solve for x
    x = 471,361,795.12/24,509.08
  6. Step 6: Final answer
    x = 19,232.13

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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.