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Finding the Fourth Proportional to 8,809.60, 13,214.40 and 8,420.80

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Solution

The fourth proportional to 8,809.60, 13,214.40 and 8,420.80 is: 12,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,809.60 : 13,214.40 = 8,420.80 : x
  2. Step 2: Convert to fraction form
    8,809.60/13,214.40 = 8,420.80/x
  3. Step 3: Cross multiply
    8,809.60x = 13,214.40 × 8,420.80
  4. Step 4: Simplify right side
    8,809.60x = 111,275,819.52
  5. Step 5: Solve for x
    x = 111,275,819.52/8,809.60
  6. Step 6: Final answer
    x = 12,631.20

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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.