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Finding the Fourth Proportional to 12,688.80, 19,004.40 and 8,023.20

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Solution

The fourth proportional to 12,688.80, 19,004.40 and 8,023.20 is: 12,016.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.80 : 19,004.40 = 8,023.20 : x
  2. Step 2: Convert to fraction form
    12,688.80/19,004.40 = 8,023.20/x
  3. Step 3: Cross multiply
    12,688.80x = 19,004.40 × 8,023.20
  4. Step 4: Simplify right side
    12,688.80x = 152,476,102.08
  5. Step 5: Solve for x
    x = 152,476,102.08/12,688.80
  6. Step 6: Final answer
    x = 12,016.59

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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.