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Finding the Fourth Proportional to 16,328.52, 24,478.10 and 5,933

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Solution

The fourth proportional to 16,328.52, 24,478.10 and 5,933 is: 8,894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,328.52 : 24,478.10 = 5,933 : x
  2. Step 2: Convert to fraction form
    16,328.52/24,478.10 = 5,933/x
  3. Step 3: Cross multiply
    16,328.52x = 24,478.10 × 5,933
  4. Step 4: Simplify right side
    16,328.52x = 145,228,567.30
  5. Step 5: Solve for x
    x = 145,228,567.30/16,328.52
  6. Step 6: Final answer
    x = 8,894.17

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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.