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Finding the Fourth Proportional to 19,743.36, 29,605.84 and 7,260.20

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Solution

The fourth proportional to 19,743.36, 29,605.84 and 7,260.20 is: 10,886.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,743.36 : 29,605.84 = 7,260.20 : x
  2. Step 2: Convert to fraction form
    19,743.36/29,605.84 = 7,260.20/x
  3. Step 3: Cross multiply
    19,743.36x = 29,605.84 × 7,260.20
  4. Step 4: Simplify right side
    19,743.36x = 214,944,319.57
  5. Step 5: Solve for x
    x = 214,944,319.57/19,743.36
  6. Step 6: Final answer
    x = 10,886.92

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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.