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Finding the Fourth Proportional to 15,491.65, 21,371.61 and 9,200.38

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Solution

The fourth proportional to 15,491.65, 21,371.61 and 9,200.38 is: 12,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,491.65 : 21,371.61 = 9,200.38 : x
  2. Step 2: Convert to fraction form
    15,491.65/21,371.61 = 9,200.38/x
  3. Step 3: Cross multiply
    15,491.65x = 21,371.61 × 9,200.38
  4. Step 4: Simplify right side
    15,491.65x = 196,626,933.21
  5. Step 5: Solve for x
    x = 196,626,933.21/15,491.65
  6. Step 6: Final answer
    x = 12,692.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.