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Finding the Fourth Proportional to 12,298.56, 16,977.51 and 8,331.72

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Solution

The fourth proportional to 12,298.56, 16,977.51 and 8,331.72 is: 11,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.56 : 16,977.51 = 8,331.72 : x
  2. Step 2: Convert to fraction form
    12,298.56/16,977.51 = 8,331.72/x
  3. Step 3: Cross multiply
    12,298.56x = 16,977.51 × 8,331.72
  4. Step 4: Simplify right side
    12,298.56x = 141,451,859.62
  5. Step 5: Solve for x
    x = 141,451,859.62/12,298.56
  6. Step 6: Final answer
    x = 11,501.50

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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.