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Finding the Fourth Proportional to 23,540.88, 35,320.48 and 10,384

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Solution

The fourth proportional to 23,540.88, 35,320.48 and 10,384 is: 15,580.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,540.88 : 35,320.48 = 10,384 : x
  2. Step 2: Convert to fraction form
    23,540.88/35,320.48 = 10,384/x
  3. Step 3: Cross multiply
    23,540.88x = 35,320.48 × 10,384
  4. Step 4: Simplify right side
    23,540.88x = 366,767,864.32
  5. Step 5: Solve for x
    x = 366,767,864.32/23,540.88
  6. Step 6: Final answer
    x = 15,580.04

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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.