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Finding the Fourth Proportional to 24,178.07, 36,258.89 and 8,379.42

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Solution

The fourth proportional to 24,178.07, 36,258.89 and 8,379.42 is: 12,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.07 : 36,258.89 = 8,379.42 : x
  2. Step 2: Convert to fraction form
    24,178.07/36,258.89 = 8,379.42/x
  3. Step 3: Cross multiply
    24,178.07x = 36,258.89 × 8,379.42
  4. Step 4: Simplify right side
    24,178.07x = 303,828,468.04
  5. Step 5: Solve for x
    x = 303,828,468.04/24,178.07
  6. Step 6: Final answer
    x = 12,566.28

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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.