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Finding the Fourth Proportional to 16,123.26, 24,184.92 and 4,437.42

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Solution

The fourth proportional to 16,123.26, 24,184.92 and 4,437.42 is: 6,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.26 : 24,184.92 = 4,437.42 : x
  2. Step 2: Convert to fraction form
    16,123.26/24,184.92 = 4,437.42/x
  3. Step 3: Cross multiply
    16,123.26x = 24,184.92 × 4,437.42
  4. Step 4: Simplify right side
    16,123.26x = 107,318,647.71
  5. Step 5: Solve for x
    x = 107,318,647.71/16,123.26
  6. Step 6: Final answer
    x = 6,656.14

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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.