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Finding the Fourth Proportional to 17,567.71, 24,242.34 and 9,608.34

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Solution

The fourth proportional to 17,567.71, 24,242.34 and 9,608.34 is: 13,258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,567.71 : 24,242.34 = 9,608.34 : x
  2. Step 2: Convert to fraction form
    17,567.71/24,242.34 = 9,608.34/x
  3. Step 3: Cross multiply
    17,567.71x = 24,242.34 × 9,608.34
  4. Step 4: Simplify right side
    17,567.71x = 232,928,645.12
  5. Step 5: Solve for x
    x = 232,928,645.12/17,567.71
  6. Step 6: Final answer
    x = 13,258.91

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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.