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Finding the Fourth Proportional to 15,122.36, 20,862.06 and 8,831

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Solution

The fourth proportional to 15,122.36, 20,862.06 and 8,831 is: 12,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.36 : 20,862.06 = 8,831 : x
  2. Step 2: Convert to fraction form
    15,122.36/20,862.06 = 8,831/x
  3. Step 3: Cross multiply
    15,122.36x = 20,862.06 × 8,831
  4. Step 4: Simplify right side
    15,122.36x = 184,232,851.86
  5. Step 5: Solve for x
    x = 184,232,851.86/15,122.36
  6. Step 6: Final answer
    x = 12,182.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.