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Finding the Fourth Proportional to 16,076.88, 24,123.42 and 7,309.98

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Solution

The fourth proportional to 16,076.88, 24,123.42 and 7,309.98 is: 10,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.88 : 24,123.42 = 7,309.98 : x
  2. Step 2: Convert to fraction form
    16,076.88/24,123.42 = 7,309.98/x
  3. Step 3: Cross multiply
    16,076.88x = 24,123.42 × 7,309.98
  4. Step 4: Simplify right side
    16,076.88x = 176,341,717.73
  5. Step 5: Solve for x
    x = 176,341,717.73/16,076.88
  6. Step 6: Final answer
    x = 10,968.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.