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Finding the Fourth Proportional to 16,057.40, 24,053.70 and 9,123.80

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Solution

The fourth proportional to 16,057.40, 24,053.70 and 9,123.80 is: 13,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.40 : 24,053.70 = 9,123.80 : x
  2. Step 2: Convert to fraction form
    16,057.40/24,053.70 = 9,123.80/x
  3. Step 3: Cross multiply
    16,057.40x = 24,053.70 × 9,123.80
  4. Step 4: Simplify right side
    16,057.40x = 219,461,148.06
  5. Step 5: Solve for x
    x = 219,461,148.06/16,057.40
  6. Step 6: Final answer
    x = 13,667.29

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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.