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Finding the Fourth Proportional to 23,182.32, 34,754.76 and 9,318

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Solution

The fourth proportional to 23,182.32, 34,754.76 and 9,318 is: 13,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,182.32 : 34,754.76 = 9,318 : x
  2. Step 2: Convert to fraction form
    23,182.32/34,754.76 = 9,318/x
  3. Step 3: Cross multiply
    23,182.32x = 34,754.76 × 9,318
  4. Step 4: Simplify right side
    23,182.32x = 323,844,853.68
  5. Step 5: Solve for x
    x = 323,844,853.68/23,182.32
  6. Step 6: Final answer
    x = 13,969.48

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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.