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Finding the Fourth Proportional to 13,678.76, 20,518.56 and 4,318.86

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Solution

The fourth proportional to 13,678.76, 20,518.56 and 4,318.86 is: 6,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.76 : 20,518.56 = 4,318.86 : x
  2. Step 2: Convert to fraction form
    13,678.76/20,518.56 = 4,318.86/x
  3. Step 3: Cross multiply
    13,678.76x = 20,518.56 × 4,318.86
  4. Step 4: Simplify right side
    13,678.76x = 88,616,788.04
  5. Step 5: Solve for x
    x = 88,616,788.04/13,678.76
  6. Step 6: Final answer
    x = 6,478.42

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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.