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Finding the Fourth Proportional to 12,232.28, 16,885.71 and 8,258.77

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Solution

The fourth proportional to 12,232.28, 16,885.71 and 8,258.77 is: 11,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.28 : 16,885.71 = 8,258.77 : x
  2. Step 2: Convert to fraction form
    12,232.28/16,885.71 = 8,258.77/x
  3. Step 3: Cross multiply
    12,232.28x = 16,885.71 × 8,258.77
  4. Step 4: Simplify right side
    12,232.28x = 139,455,195.18
  5. Step 5: Solve for x
    x = 139,455,195.18/12,232.28
  6. Step 6: Final answer
    x = 11,400.59

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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.