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Finding the Fourth Proportional to 17,315, 25,972.60 and 6,221.76

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Solution

The fourth proportional to 17,315, 25,972.60 and 6,221.76 is: 9,332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,315 : 25,972.60 = 6,221.76 : x
  2. Step 2: Convert to fraction form
    17,315/25,972.60 = 6,221.76/x
  3. Step 3: Cross multiply
    17,315x = 25,972.60 × 6,221.76
  4. Step 4: Simplify right side
    17,315x = 161,595,283.78
  5. Step 5: Solve for x
    x = 161,595,283.78/17,315
  6. Step 6: Final answer
    x = 9,332.68

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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.