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Finding the Fourth Proportional to 16,219.68, 24,330.90 and 5,123.40

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Solution

The fourth proportional to 16,219.68, 24,330.90 and 5,123.40 is: 7,685.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.68 : 24,330.90 = 5,123.40 : x
  2. Step 2: Convert to fraction form
    16,219.68/24,330.90 = 5,123.40/x
  3. Step 3: Cross multiply
    16,219.68x = 24,330.90 × 5,123.40
  4. Step 4: Simplify right side
    16,219.68x = 124,656,933.06
  5. Step 5: Solve for x
    x = 124,656,933.06/16,219.68
  6. Step 6: Final answer
    x = 7,685.54

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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.