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Finding the Fourth Proportional to 27,246.16, 40,921.08 and 16,930

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Solution

The fourth proportional to 27,246.16, 40,921.08 and 16,930 is: 25,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,246.16 : 40,921.08 = 16,930 : x
  2. Step 2: Convert to fraction form
    27,246.16/40,921.08 = 16,930/x
  3. Step 3: Cross multiply
    27,246.16x = 40,921.08 × 16,930
  4. Step 4: Simplify right side
    27,246.16x = 692,793,884.40
  5. Step 5: Solve for x
    x = 692,793,884.40/27,246.16
  6. Step 6: Final answer
    x = 25,427.21

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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.