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Finding the Fourth Proportional to 23,667, 35,506.50 and 8,875.96

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Solution

The fourth proportional to 23,667, 35,506.50 and 8,875.96 is: 13,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,667 : 35,506.50 = 8,875.96 : x
  2. Step 2: Convert to fraction form
    23,667/35,506.50 = 8,875.96/x
  3. Step 3: Cross multiply
    23,667x = 35,506.50 × 8,875.96
  4. Step 4: Simplify right side
    23,667x = 315,154,273.74
  5. Step 5: Solve for x
    x = 315,154,273.74/23,667
  6. Step 6: Final answer
    x = 13,316.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.