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Finding the Fourth Proportional to 12,879.76, 19,319.28 and 4,115.20

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Solution

The fourth proportional to 12,879.76, 19,319.28 and 4,115.20 is: 6,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,879.76 : 19,319.28 = 4,115.20 : x
  2. Step 2: Convert to fraction form
    12,879.76/19,319.28 = 4,115.20/x
  3. Step 3: Cross multiply
    12,879.76x = 19,319.28 × 4,115.20
  4. Step 4: Simplify right side
    12,879.76x = 79,502,701.06
  5. Step 5: Solve for x
    x = 79,502,701.06/12,879.76
  6. Step 6: Final answer
    x = 6,172.68

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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.