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Finding the Fourth Proportional to 16,509.48, 24,770.70 and 7,269

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Solution

The fourth proportional to 16,509.48, 24,770.70 and 7,269 is: 10,906.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.48 : 24,770.70 = 7,269 : x
  2. Step 2: Convert to fraction form
    16,509.48/24,770.70 = 7,269/x
  3. Step 3: Cross multiply
    16,509.48x = 24,770.70 × 7,269
  4. Step 4: Simplify right side
    16,509.48x = 180,058,218.30
  5. Step 5: Solve for x
    x = 180,058,218.30/16,509.48
  6. Step 6: Final answer
    x = 10,906.35

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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.