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Finding the Fourth Proportional to 17,298.38, 23,870.34 and 9,742.29

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Solution

The fourth proportional to 17,298.38, 23,870.34 and 9,742.29 is: 13,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,298.38 : 23,870.34 = 9,742.29 : x
  2. Step 2: Convert to fraction form
    17,298.38/23,870.34 = 9,742.29/x
  3. Step 3: Cross multiply
    17,298.38x = 23,870.34 × 9,742.29
  4. Step 4: Simplify right side
    17,298.38x = 232,551,774.68
  5. Step 5: Solve for x
    x = 232,551,774.68/17,298.38
  6. Step 6: Final answer
    x = 13,443.56

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Why These Related Problems?

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