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Finding the Fourth Proportional to 12,952.42, 19,400.55 and 8,023.30

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Solution

The fourth proportional to 12,952.42, 19,400.55 and 8,023.30 is: 12,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.42 : 19,400.55 = 8,023.30 : x
  2. Step 2: Convert to fraction form
    12,952.42/19,400.55 = 8,023.30/x
  3. Step 3: Cross multiply
    12,952.42x = 19,400.55 × 8,023.30
  4. Step 4: Simplify right side
    12,952.42x = 155,656,432.82
  5. Step 5: Solve for x
    x = 155,656,432.82/12,952.42
  6. Step 6: Final answer
    x = 12,017.56

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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.