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Finding the Fourth Proportional to 12,029.60, 16,607.76 and 8,258.24

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Solution

The fourth proportional to 12,029.60, 16,607.76 and 8,258.24 is: 11,401.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.60 : 16,607.76 = 8,258.24 : x
  2. Step 2: Convert to fraction form
    12,029.60/16,607.76 = 8,258.24/x
  3. Step 3: Cross multiply
    12,029.60x = 16,607.76 × 8,258.24
  4. Step 4: Simplify right side
    12,029.60x = 137,150,867.94
  5. Step 5: Solve for x
    x = 137,150,867.94/12,029.60
  6. Step 6: Final answer
    x = 11,401.12

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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.