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Finding the Fourth Proportional to 26,952.76, 40,432.38 and 9,186.40

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Solution

The fourth proportional to 26,952.76, 40,432.38 and 9,186.40 is: 13,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,952.76 : 40,432.38 = 9,186.40 : x
  2. Step 2: Convert to fraction form
    26,952.76/40,432.38 = 9,186.40/x
  3. Step 3: Cross multiply
    26,952.76x = 40,432.38 × 9,186.40
  4. Step 4: Simplify right side
    26,952.76x = 371,428,015.63
  5. Step 5: Solve for x
    x = 371,428,015.63/26,952.76
  6. Step 6: Final answer
    x = 13,780.70

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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.