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Finding the Fourth Proportional to 13,587.86, 20,379.72 and 4,821.50

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Solution

The fourth proportional to 13,587.86, 20,379.72 and 4,821.50 is: 7,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,587.86 : 20,379.72 = 4,821.50 : x
  2. Step 2: Convert to fraction form
    13,587.86/20,379.72 = 4,821.50/x
  3. Step 3: Cross multiply
    13,587.86x = 20,379.72 × 4,821.50
  4. Step 4: Simplify right side
    13,587.86x = 98,260,819.98
  5. Step 5: Solve for x
    x = 98,260,819.98/13,587.86
  6. Step 6: Final answer
    x = 7,231.52

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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.