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Finding the Fourth Proportional to 21,417, 32,104.17 and 10,320.54

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Solution

The fourth proportional to 21,417, 32,104.17 and 10,320.54 is: 15,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,417 : 32,104.17 = 10,320.54 : x
  2. Step 2: Convert to fraction form
    21,417/32,104.17 = 10,320.54/x
  3. Step 3: Cross multiply
    21,417x = 32,104.17 × 10,320.54
  4. Step 4: Simplify right side
    21,417x = 331,332,370.65
  5. Step 5: Solve for x
    x = 331,332,370.65/21,417
  6. Step 6: Final answer
    x = 15,470.53

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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.