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Finding the Fourth Proportional to 18,178.16, 27,275.88 and 8,942

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Solution

The fourth proportional to 18,178.16, 27,275.88 and 8,942 is: 13,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,178.16 : 27,275.88 = 8,942 : x
  2. Step 2: Convert to fraction form
    18,178.16/27,275.88 = 8,942/x
  3. Step 3: Cross multiply
    18,178.16x = 27,275.88 × 8,942
  4. Step 4: Simplify right side
    18,178.16x = 243,900,918.96
  5. Step 5: Solve for x
    x = 243,900,918.96/18,178.16
  6. Step 6: Final answer
    x = 13,417.25

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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.