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Finding the Fourth Proportional to 16,548.70, 24,823 and 7,187.52

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Solution

The fourth proportional to 16,548.70, 24,823 and 7,187.52 is: 10,781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548.70 : 24,823 = 7,187.52 : x
  2. Step 2: Convert to fraction form
    16,548.70/24,823 = 7,187.52/x
  3. Step 3: Cross multiply
    16,548.70x = 24,823 × 7,187.52
  4. Step 4: Simplify right side
    16,548.70x = 178,415,808.96
  5. Step 5: Solve for x
    x = 178,415,808.96/16,548.70
  6. Step 6: Final answer
    x = 10,781.26

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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.