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Finding the Fourth Proportional to 16,522.78, 24,788.07 and 5,429.50

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Solution

The fourth proportional to 16,522.78, 24,788.07 and 5,429.50 is: 8,145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522.78 : 24,788.07 = 5,429.50 : x
  2. Step 2: Convert to fraction form
    16,522.78/24,788.07 = 5,429.50/x
  3. Step 3: Cross multiply
    16,522.78x = 24,788.07 × 5,429.50
  4. Step 4: Simplify right side
    16,522.78x = 134,586,826.07
  5. Step 5: Solve for x
    x = 134,586,826.07/16,522.78
  6. Step 6: Final answer
    x = 8,145.53

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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.