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Finding the Fourth Proportional to 23,928.34, 35,894.90 and 9,149.69

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Solution

The fourth proportional to 23,928.34, 35,894.90 and 9,149.69 is: 13,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,928.34 : 35,894.90 = 9,149.69 : x
  2. Step 2: Convert to fraction form
    23,928.34/35,894.90 = 9,149.69/x
  3. Step 3: Cross multiply
    23,928.34x = 35,894.90 × 9,149.69
  4. Step 4: Simplify right side
    23,928.34x = 328,427,207.58
  5. Step 5: Solve for x
    x = 328,427,207.58/23,928.34
  6. Step 6: Final answer
    x = 13,725.45

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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.