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Finding the Fourth Proportional to 24,219.23, 36,326.15 and 8,421.53

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Solution

The fourth proportional to 24,219.23, 36,326.15 and 8,421.53 is: 12,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,219.23 : 36,326.15 = 8,421.53 : x
  2. Step 2: Convert to fraction form
    24,219.23/36,326.15 = 8,421.53/x
  3. Step 3: Cross multiply
    24,219.23x = 36,326.15 × 8,421.53
  4. Step 4: Simplify right side
    24,219.23x = 305,921,719.90
  5. Step 5: Solve for x
    x = 305,921,719.90/24,219.23
  6. Step 6: Final answer
    x = 12,631.36

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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.