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Finding the Fourth Proportional to 13,151.44, 19,722.30 and 5,356

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Solution

The fourth proportional to 13,151.44, 19,722.30 and 5,356 is: 8,032.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.44 : 19,722.30 = 5,356 : x
  2. Step 2: Convert to fraction form
    13,151.44/19,722.30 = 5,356/x
  3. Step 3: Cross multiply
    13,151.44x = 19,722.30 × 5,356
  4. Step 4: Simplify right side
    13,151.44x = 105,632,638.80
  5. Step 5: Solve for x
    x = 105,632,638.80/13,151.44
  6. Step 6: Final answer
    x = 8,032.02

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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.