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Finding the Fourth Proportional to 23,886.38, 35,829.57 and 8,304

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Solution

The fourth proportional to 23,886.38, 35,829.57 and 8,304 is: 12,456.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.38 : 35,829.57 = 8,304 : x
  2. Step 2: Convert to fraction form
    23,886.38/35,829.57 = 8,304/x
  3. Step 3: Cross multiply
    23,886.38x = 35,829.57 × 8,304
  4. Step 4: Simplify right side
    23,886.38x = 297,528,749.28
  5. Step 5: Solve for x
    x = 297,528,749.28/23,886.38
  6. Step 6: Final answer
    x = 12,456.00

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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.