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Finding the Fourth Proportional to 10,281.33, 15,422.75 and 9,057.22

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Solution

The fourth proportional to 10,281.33, 15,422.75 and 9,057.22 is: 13,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.33 : 15,422.75 = 9,057.22 : x
  2. Step 2: Convert to fraction form
    10,281.33/15,422.75 = 9,057.22/x
  3. Step 3: Cross multiply
    10,281.33x = 15,422.75 × 9,057.22
  4. Step 4: Simplify right side
    10,281.33x = 139,687,239.76
  5. Step 5: Solve for x
    x = 139,687,239.76/10,281.33
  6. Step 6: Final answer
    x = 13,586.50

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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.