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Finding the Fourth Proportional to 16,262.56, 24,388.72 and 5,316

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Solution

The fourth proportional to 16,262.56, 24,388.72 and 5,316 is: 7,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.56 : 24,388.72 = 5,316 : x
  2. Step 2: Convert to fraction form
    16,262.56/24,388.72 = 5,316/x
  3. Step 3: Cross multiply
    16,262.56x = 24,388.72 × 5,316
  4. Step 4: Simplify right side
    16,262.56x = 129,650,435.52
  5. Step 5: Solve for x
    x = 129,650,435.52/16,262.56
  6. Step 6: Final answer
    x = 7,972.33

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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.