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Finding the Fourth Proportional to 12,432.93, 18,646.92 and 4,640.19

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Solution

The fourth proportional to 12,432.93, 18,646.92 and 4,640.19 is: 6,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432.93 : 18,646.92 = 4,640.19 : x
  2. Step 2: Convert to fraction form
    12,432.93/18,646.92 = 4,640.19/x
  3. Step 3: Cross multiply
    12,432.93x = 18,646.92 × 4,640.19
  4. Step 4: Simplify right side
    12,432.93x = 86,525,251.71
  5. Step 5: Solve for x
    x = 86,525,251.71/12,432.93
  6. Step 6: Final answer
    x = 6,959.36

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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.