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Finding the Fourth Proportional to 21,246, 31,869.18 and 7,395

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Solution

The fourth proportional to 21,246, 31,869.18 and 7,395 is: 11,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,246 : 31,869.18 = 7,395 : x
  2. Step 2: Convert to fraction form
    21,246/31,869.18 = 7,395/x
  3. Step 3: Cross multiply
    21,246x = 31,869.18 × 7,395
  4. Step 4: Simplify right side
    21,246x = 235,672,586.10
  5. Step 5: Solve for x
    x = 235,672,586.10/21,246
  6. Step 6: Final answer
    x = 11,092.56

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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.