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Finding the Fourth Proportional to 12,686.65, 19,025.31 and 4,364.31

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Solution

The fourth proportional to 12,686.65, 19,025.31 and 4,364.31 is: 6,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.65 : 19,025.31 = 4,364.31 : x
  2. Step 2: Convert to fraction form
    12,686.65/19,025.31 = 4,364.31/x
  3. Step 3: Cross multiply
    12,686.65x = 19,025.31 × 4,364.31
  4. Step 4: Simplify right side
    12,686.65x = 83,032,350.69
  5. Step 5: Solve for x
    x = 83,032,350.69/12,686.65
  6. Step 6: Final answer
    x = 6,544.86

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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.