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Finding the Fourth Proportional to 23,633.56, 35,432.72 and 10,304

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Solution

The fourth proportional to 23,633.56, 35,432.72 and 10,304 is: 15,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.56 : 35,432.72 = 10,304 : x
  2. Step 2: Convert to fraction form
    23,633.56/35,432.72 = 10,304/x
  3. Step 3: Cross multiply
    23,633.56x = 35,432.72 × 10,304
  4. Step 4: Simplify right side
    23,633.56x = 365,098,746.88
  5. Step 5: Solve for x
    x = 365,098,746.88/23,633.56
  6. Step 6: Final answer
    x = 15,448.32

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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.