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Finding the Fourth Proportional to 12,951.90, 19,419.35 and 6,382.40

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Solution

The fourth proportional to 12,951.90, 19,419.35 and 6,382.40 is: 9,569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.90 : 19,419.35 = 6,382.40 : x
  2. Step 2: Convert to fraction form
    12,951.90/19,419.35 = 6,382.40/x
  3. Step 3: Cross multiply
    12,951.90x = 19,419.35 × 6,382.40
  4. Step 4: Simplify right side
    12,951.90x = 123,941,930.43
  5. Step 5: Solve for x
    x = 123,941,930.43/12,951.90
  6. Step 6: Final answer
    x = 9,569.40

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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.