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Finding the Fourth Proportional to 23,101.64, 34,656.73 and 7,310.65

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Solution

The fourth proportional to 23,101.64, 34,656.73 and 7,310.65 is: 10,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.64 : 34,656.73 = 7,310.65 : x
  2. Step 2: Convert to fraction form
    23,101.64/34,656.73 = 7,310.65/x
  3. Step 3: Cross multiply
    23,101.64x = 34,656.73 × 7,310.65
  4. Step 4: Simplify right side
    23,101.64x = 253,363,223.17
  5. Step 5: Solve for x
    x = 253,363,223.17/23,101.64
  6. Step 6: Final answer
    x = 10,967.33

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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.