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Finding the Fourth Proportional to 19,645.26, 29,475.66 and 7,166.16

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Solution

The fourth proportional to 19,645.26, 29,475.66 and 7,166.16 is: 10,752.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645.26 : 29,475.66 = 7,166.16 : x
  2. Step 2: Convert to fraction form
    19,645.26/29,475.66 = 7,166.16/x
  3. Step 3: Cross multiply
    19,645.26x = 29,475.66 × 7,166.16
  4. Step 4: Simplify right side
    19,645.26x = 211,227,295.67
  5. Step 5: Solve for x
    x = 211,227,295.67/19,645.26
  6. Step 6: Final answer
    x = 10,752.07

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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.