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Finding the Fourth Proportional to 12,911.60, 19,374.60 and 5,514.80

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Solution

The fourth proportional to 12,911.60, 19,374.60 and 5,514.80 is: 8,275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.60 : 19,374.60 = 5,514.80 : x
  2. Step 2: Convert to fraction form
    12,911.60/19,374.60 = 5,514.80/x
  3. Step 3: Cross multiply
    12,911.60x = 19,374.60 × 5,514.80
  4. Step 4: Simplify right side
    12,911.60x = 106,847,044.08
  5. Step 5: Solve for x
    x = 106,847,044.08/12,911.60
  6. Step 6: Final answer
    x = 8,275.28

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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.