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Finding the Fourth Proportional to 12,123.77, 16,738.48 and 8,301.80

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Solution

The fourth proportional to 12,123.77, 16,738.48 and 8,301.80 is: 11,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.77 : 16,738.48 = 8,301.80 : x
  2. Step 2: Convert to fraction form
    12,123.77/16,738.48 = 8,301.80/x
  3. Step 3: Cross multiply
    12,123.77x = 16,738.48 × 8,301.80
  4. Step 4: Simplify right side
    12,123.77x = 138,959,500.61
  5. Step 5: Solve for x
    x = 138,959,500.61/12,123.77
  6. Step 6: Final answer
    x = 11,461.74

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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.