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Finding the Fourth Proportional to 17,032.96, 23,505.66 and 9,958

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Solution

The fourth proportional to 17,032.96, 23,505.66 and 9,958 is: 13,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,032.96 : 23,505.66 = 9,958 : x
  2. Step 2: Convert to fraction form
    17,032.96/23,505.66 = 9,958/x
  3. Step 3: Cross multiply
    17,032.96x = 23,505.66 × 9,958
  4. Step 4: Simplify right side
    17,032.96x = 234,069,362.28
  5. Step 5: Solve for x
    x = 234,069,362.28/17,032.96
  6. Step 6: Final answer
    x = 13,742.14

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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.