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Finding the Fourth Proportional to 27,178.32, 40,774.76 and 11,375

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Solution

The fourth proportional to 27,178.32, 40,774.76 and 11,375 is: 17,065.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178.32 : 40,774.76 = 11,375 : x
  2. Step 2: Convert to fraction form
    27,178.32/40,774.76 = 11,375/x
  3. Step 3: Cross multiply
    27,178.32x = 40,774.76 × 11,375
  4. Step 4: Simplify right side
    27,178.32x = 463,812,895
  5. Step 5: Solve for x
    x = 463,812,895/27,178.32
  6. Step 6: Final answer
    x = 17,065.55

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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.