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Finding the Fourth Proportional to 17,298.46, 23,867.76 and 9,743.29

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Solution

The fourth proportional to 17,298.46, 23,867.76 and 9,743.29 is: 13,443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,298.46 : 23,867.76 = 9,743.29 : x
  2. Step 2: Convert to fraction form
    17,298.46/23,867.76 = 9,743.29/x
  3. Step 3: Cross multiply
    17,298.46x = 23,867.76 × 9,743.29
  4. Step 4: Simplify right side
    17,298.46x = 232,550,484.20
  5. Step 5: Solve for x
    x = 232,550,484.20/17,298.46
  6. Step 6: Final answer
    x = 13,443.42

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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.