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Finding the Fourth Proportional to 12,697.20, 19,061.40 and 8,017.20

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Solution

The fourth proportional to 12,697.20, 19,061.40 and 8,017.20 is: 12,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.20 : 19,061.40 = 8,017.20 : x
  2. Step 2: Convert to fraction form
    12,697.20/19,061.40 = 8,017.20/x
  3. Step 3: Cross multiply
    12,697.20x = 19,061.40 × 8,017.20
  4. Step 4: Simplify right side
    12,697.20x = 152,819,056.08
  5. Step 5: Solve for x
    x = 152,819,056.08/12,697.20
  6. Step 6: Final answer
    x = 12,035.65

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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.