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Finding the Fourth Proportional to 16,123.56, 24,182.82 and 7,237.06

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Solution

The fourth proportional to 16,123.56, 24,182.82 and 7,237.06 is: 10,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.56 : 24,182.82 = 7,237.06 : x
  2. Step 2: Convert to fraction form
    16,123.56/24,182.82 = 7,237.06/x
  3. Step 3: Cross multiply
    16,123.56x = 24,182.82 × 7,237.06
  4. Step 4: Simplify right side
    16,123.56x = 175,012,519.31
  5. Step 5: Solve for x
    x = 175,012,519.31/16,123.56
  6. Step 6: Final answer
    x = 10,854.46

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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.