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Finding the Fourth Proportional to 24,218.29, 36,312.55 and 8,419.64

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Solution

The fourth proportional to 24,218.29, 36,312.55 and 8,419.64 is: 12,624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,218.29 : 36,312.55 = 8,419.64 : x
  2. Step 2: Convert to fraction form
    24,218.29/36,312.55 = 8,419.64/x
  3. Step 3: Cross multiply
    24,218.29x = 36,312.55 × 8,419.64
  4. Step 4: Simplify right side
    24,218.29x = 305,738,690.91
  5. Step 5: Solve for x
    x = 305,738,690.91/24,218.29
  6. Step 6: Final answer
    x = 12,624.29

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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.