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Finding the Fourth Proportional to 17,298.86, 23,869.25 and 9,743.57

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Solution

The fourth proportional to 17,298.86, 23,869.25 and 9,743.57 is: 13,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,298.86 : 23,869.25 = 9,743.57 : x
  2. Step 2: Convert to fraction form
    17,298.86/23,869.25 = 9,743.57/x
  3. Step 3: Cross multiply
    17,298.86x = 23,869.25 × 9,743.57
  4. Step 4: Simplify right side
    17,298.86x = 232,571,719.18
  5. Step 5: Solve for x
    x = 232,571,719.18/17,298.86
  6. Step 6: Final answer
    x = 13,444.34

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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.