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Finding the Fourth Proportional to 10,502.22, 15,733.17 and 10,150.50

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Solution

The fourth proportional to 10,502.22, 15,733.17 and 10,150.50 is: 15,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.22 : 15,733.17 = 10,150.50 : x
  2. Step 2: Convert to fraction form
    10,502.22/15,733.17 = 10,150.50/x
  3. Step 3: Cross multiply
    10,502.22x = 15,733.17 × 10,150.50
  4. Step 4: Simplify right side
    10,502.22x = 159,699,542.09
  5. Step 5: Solve for x
    x = 159,699,542.09/10,502.22
  6. Step 6: Final answer
    x = 15,206.27

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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.