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Finding the Fourth Proportional to 13,678.83, 20,518.20 and 4,319.76

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Solution

The fourth proportional to 13,678.83, 20,518.20 and 4,319.76 is: 6,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.83 : 20,518.20 = 4,319.76 : x
  2. Step 2: Convert to fraction form
    13,678.83/20,518.20 = 4,319.76/x
  3. Step 3: Cross multiply
    13,678.83x = 20,518.20 × 4,319.76
  4. Step 4: Simplify right side
    13,678.83x = 88,633,699.63
  5. Step 5: Solve for x
    x = 88,633,699.63/13,678.83
  6. Step 6: Final answer
    x = 6,479.63

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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.