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Finding the Fourth Proportional to 15,422.70, 21,283.38 and 8,349.12

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Solution

The fourth proportional to 15,422.70, 21,283.38 and 8,349.12 is: 11,521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,422.70 : 21,283.38 = 8,349.12 : x
  2. Step 2: Convert to fraction form
    15,422.70/21,283.38 = 8,349.12/x
  3. Step 3: Cross multiply
    15,422.70x = 21,283.38 × 8,349.12
  4. Step 4: Simplify right side
    15,422.70x = 177,697,461.29
  5. Step 5: Solve for x
    x = 177,697,461.29/15,422.70
  6. Step 6: Final answer
    x = 11,521.82

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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.