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Finding the Fourth Proportional to 16,328.52, 24,496.56 and 5,940

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Solution

The fourth proportional to 16,328.52, 24,496.56 and 5,940 is: 8,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,328.52 : 24,496.56 = 5,940 : x
  2. Step 2: Convert to fraction form
    16,328.52/24,496.56 = 5,940/x
  3. Step 3: Cross multiply
    16,328.52x = 24,496.56 × 5,940
  4. Step 4: Simplify right side
    16,328.52x = 145,509,566.40
  5. Step 5: Solve for x
    x = 145,509,566.40/16,328.52
  6. Step 6: Final answer
    x = 8,911.38

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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.