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Finding the Fourth Proportional to 12,875.60, 19,320.60 and 5,478.80

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Solution

The fourth proportional to 12,875.60, 19,320.60 and 5,478.80 is: 8,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.60 : 19,320.60 = 5,478.80 : x
  2. Step 2: Convert to fraction form
    12,875.60/19,320.60 = 5,478.80/x
  3. Step 3: Cross multiply
    12,875.60x = 19,320.60 × 5,478.80
  4. Step 4: Simplify right side
    12,875.60x = 105,853,703.28
  5. Step 5: Solve for x
    x = 105,853,703.28/12,875.60
  6. Step 6: Final answer
    x = 8,221.26

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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.