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Finding the Fourth Proportional to 10,023.92, 13,817.66 and 7,502.22

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Solution

The fourth proportional to 10,023.92, 13,817.66 and 7,502.22 is: 10,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.92 : 13,817.66 = 7,502.22 : x
  2. Step 2: Convert to fraction form
    10,023.92/13,817.66 = 7,502.22/x
  3. Step 3: Cross multiply
    10,023.92x = 13,817.66 × 7,502.22
  4. Step 4: Simplify right side
    10,023.92x = 103,663,125.21
  5. Step 5: Solve for x
    x = 103,663,125.21/10,023.92
  6. Step 6: Final answer
    x = 10,341.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.