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Finding the Fourth Proportional to 15,674.28, 23,515.30 and 7,780.50

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Solution

The fourth proportional to 15,674.28, 23,515.30 and 7,780.50 is: 11,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674.28 : 23,515.30 = 7,780.50 : x
  2. Step 2: Convert to fraction form
    15,674.28/23,515.30 = 7,780.50/x
  3. Step 3: Cross multiply
    15,674.28x = 23,515.30 × 7,780.50
  4. Step 4: Simplify right side
    15,674.28x = 182,960,791.65
  5. Step 5: Solve for x
    x = 182,960,791.65/15,674.28
  6. Step 6: Final answer
    x = 11,672.68

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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.