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Finding the Fourth Proportional to 15,954.60, 23,932.80 and 4,861.65

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Solution

The fourth proportional to 15,954.60, 23,932.80 and 4,861.65 is: 7,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954.60 : 23,932.80 = 4,861.65 : x
  2. Step 2: Convert to fraction form
    15,954.60/23,932.80 = 4,861.65/x
  3. Step 3: Cross multiply
    15,954.60x = 23,932.80 × 4,861.65
  4. Step 4: Simplify right side
    15,954.60x = 116,352,897.12
  5. Step 5: Solve for x
    x = 116,352,897.12/15,954.60
  6. Step 6: Final answer
    x = 7,292.75

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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.