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Finding the Fourth Proportional to 16,572.72, 24,855.84 and 6,182.40

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Solution

The fourth proportional to 16,572.72, 24,855.84 and 6,182.40 is: 9,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,572.72 : 24,855.84 = 6,182.40 : x
  2. Step 2: Convert to fraction form
    16,572.72/24,855.84 = 6,182.40/x
  3. Step 3: Cross multiply
    16,572.72x = 24,855.84 × 6,182.40
  4. Step 4: Simplify right side
    16,572.72x = 153,668,745.22
  5. Step 5: Solve for x
    x = 153,668,745.22/16,572.72
  6. Step 6: Final answer
    x = 9,272.39

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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.