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Finding the Fourth Proportional to 10,606.26, 15,884.78 and 10,237.22

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Solution

The fourth proportional to 10,606.26, 15,884.78 and 10,237.22 is: 15,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.26 : 15,884.78 = 10,237.22 : x
  2. Step 2: Convert to fraction form
    10,606.26/15,884.78 = 10,237.22/x
  3. Step 3: Cross multiply
    10,606.26x = 15,884.78 × 10,237.22
  4. Step 4: Simplify right side
    10,606.26x = 162,615,856.90
  5. Step 5: Solve for x
    x = 162,615,856.90/10,606.26
  6. Step 6: Final answer
    x = 15,332.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.