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Finding the Fourth Proportional to 17,971.20, 26,947.60 and 9,658.22

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Solution

The fourth proportional to 17,971.20, 26,947.60 and 9,658.22 is: 14,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.20 : 26,947.60 = 9,658.22 : x
  2. Step 2: Convert to fraction form
    17,971.20/26,947.60 = 9,658.22/x
  3. Step 3: Cross multiply
    17,971.20x = 26,947.60 × 9,658.22
  4. Step 4: Simplify right side
    17,971.20x = 260,265,666.24
  5. Step 5: Solve for x
    x = 260,265,666.24/17,971.20
  6. Step 6: Final answer
    x = 14,482.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.