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Finding the Fourth Proportional to 12,830.38, 19,230.63 and 5,432.38

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Solution

The fourth proportional to 12,830.38, 19,230.63 and 5,432.38 is: 8,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.38 : 19,230.63 = 5,432.38 : x
  2. Step 2: Convert to fraction form
    12,830.38/19,230.63 = 5,432.38/x
  3. Step 3: Cross multiply
    12,830.38x = 19,230.63 × 5,432.38
  4. Step 4: Simplify right side
    12,830.38x = 104,468,089.80
  5. Step 5: Solve for x
    x = 104,468,089.80/12,830.38
  6. Step 6: Final answer
    x = 8,142.24

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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.