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Finding the Fourth Proportional to 15,964.65, 23,951.12 and 7,651.08

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Solution

The fourth proportional to 15,964.65, 23,951.12 and 7,651.08 is: 11,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,964.65 : 23,951.12 = 7,651.08 : x
  2. Step 2: Convert to fraction form
    15,964.65/23,951.12 = 7,651.08/x
  3. Step 3: Cross multiply
    15,964.65x = 23,951.12 × 7,651.08
  4. Step 4: Simplify right side
    15,964.65x = 183,251,896.95
  5. Step 5: Solve for x
    x = 183,251,896.95/15,964.65
  6. Step 6: Final answer
    x = 11,478.60

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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.