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Finding the Fourth Proportional to 12,886.68, 19,329.84 and 3,652.68

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Solution

The fourth proportional to 12,886.68, 19,329.84 and 3,652.68 is: 5,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.68 : 19,329.84 = 3,652.68 : x
  2. Step 2: Convert to fraction form
    12,886.68/19,329.84 = 3,652.68/x
  3. Step 3: Cross multiply
    12,886.68x = 19,329.84 × 3,652.68
  4. Step 4: Simplify right side
    12,886.68x = 70,605,719.97
  5. Step 5: Solve for x
    x = 70,605,719.97/12,886.68
  6. Step 6: Final answer
    x = 5,478.97

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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.