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Finding the Fourth Proportional to 12,435.47, 18,641.48 and 6,189.58

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Solution

The fourth proportional to 12,435.47, 18,641.48 and 6,189.58 is: 9,278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.47 : 18,641.48 = 6,189.58 : x
  2. Step 2: Convert to fraction form
    12,435.47/18,641.48 = 6,189.58/x
  3. Step 3: Cross multiply
    12,435.47x = 18,641.48 × 6,189.58
  4. Step 4: Simplify right side
    12,435.47x = 115,382,947.25
  5. Step 5: Solve for x
    x = 115,382,947.25/12,435.47
  6. Step 6: Final answer
    x = 9,278.53

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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.