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Finding the Fourth Proportional to 24,457.86, 36,692.06 and 7,590.52

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Solution

The fourth proportional to 24,457.86, 36,692.06 and 7,590.52 is: 11,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457.86 : 36,692.06 = 7,590.52 : x
  2. Step 2: Convert to fraction form
    24,457.86/36,692.06 = 7,590.52/x
  3. Step 3: Cross multiply
    24,457.86x = 36,692.06 × 7,590.52
  4. Step 4: Simplify right side
    24,457.86x = 278,511,815.27
  5. Step 5: Solve for x
    x = 278,511,815.27/24,457.86
  6. Step 6: Final answer
    x = 11,387.42

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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.