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Finding the Fourth Proportional to 20,078.47, 27,683.09 and 12,895.70

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Solution

The fourth proportional to 20,078.47, 27,683.09 and 12,895.70 is: 17,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.47 : 27,683.09 = 12,895.70 : x
  2. Step 2: Convert to fraction form
    20,078.47/27,683.09 = 12,895.70/x
  3. Step 3: Cross multiply
    20,078.47x = 27,683.09 × 12,895.70
  4. Step 4: Simplify right side
    20,078.47x = 356,992,823.71
  5. Step 5: Solve for x
    x = 356,992,823.71/20,078.47
  6. Step 6: Final answer
    x = 17,779.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.