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Finding the Fourth Proportional to 16,347.56, 24,519 and 5,252.79

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Solution

The fourth proportional to 16,347.56, 24,519 and 5,252.79 is: 7,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.56 : 24,519 = 5,252.79 : x
  2. Step 2: Convert to fraction form
    16,347.56/24,519 = 5,252.79/x
  3. Step 3: Cross multiply
    16,347.56x = 24,519 × 5,252.79
  4. Step 4: Simplify right side
    16,347.56x = 128,793,158.01
  5. Step 5: Solve for x
    x = 128,793,158.01/16,347.56
  6. Step 6: Final answer
    x = 7,878.43

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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.