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Finding the Fourth Proportional to 12,685.65, 19,023.81 and 4,363.31

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Solution

The fourth proportional to 12,685.65, 19,023.81 and 4,363.31 is: 6,543.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.65 : 19,023.81 = 4,363.31 : x
  2. Step 2: Convert to fraction form
    12,685.65/19,023.81 = 4,363.31/x
  3. Step 3: Cross multiply
    12,685.65x = 19,023.81 × 4,363.31
  4. Step 4: Simplify right side
    12,685.65x = 83,006,780.41
  5. Step 5: Solve for x
    x = 83,006,780.41/12,685.65
  6. Step 6: Final answer
    x = 6,543.36

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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.