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Finding the Fourth Proportional to 15,744.25, 23,620.02 and 5,356

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Solution

The fourth proportional to 15,744.25, 23,620.02 and 5,356 is: 8,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.25 : 23,620.02 = 5,356 : x
  2. Step 2: Convert to fraction form
    15,744.25/23,620.02 = 5,356/x
  3. Step 3: Cross multiply
    15,744.25x = 23,620.02 × 5,356
  4. Step 4: Simplify right side
    15,744.25x = 126,508,827.12
  5. Step 5: Solve for x
    x = 126,508,827.12/15,744.25
  6. Step 6: Final answer
    x = 8,035.24

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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.