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Finding the Fourth Proportional to 24,379.40, 36,570.30 and 12,715.40

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Solution

The fourth proportional to 24,379.40, 36,570.30 and 12,715.40 is: 19,073.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379.40 : 36,570.30 = 12,715.40 : x
  2. Step 2: Convert to fraction form
    24,379.40/36,570.30 = 12,715.40/x
  3. Step 3: Cross multiply
    24,379.40x = 36,570.30 × 12,715.40
  4. Step 4: Simplify right side
    24,379.40x = 465,005,992.62
  5. Step 5: Solve for x
    x = 465,005,992.62/24,379.40
  6. Step 6: Final answer
    x = 19,073.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.