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Finding the Fourth Proportional to 16,511.48, 24,773.70 and 7,271

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Solution

The fourth proportional to 16,511.48, 24,773.70 and 7,271 is: 10,909.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,511.48 : 24,773.70 = 7,271 : x
  2. Step 2: Convert to fraction form
    16,511.48/24,773.70 = 7,271/x
  3. Step 3: Cross multiply
    16,511.48x = 24,773.70 × 7,271
  4. Step 4: Simplify right side
    16,511.48x = 180,129,572.70
  5. Step 5: Solve for x
    x = 180,129,572.70/16,511.48
  6. Step 6: Final answer
    x = 10,909.35

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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.