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Finding the Fourth Proportional to 16,645.30, 24,969.66 and 5,549

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Solution

The fourth proportional to 16,645.30, 24,969.66 and 5,549 is: 8,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,645.30 : 24,969.66 = 5,549 : x
  2. Step 2: Convert to fraction form
    16,645.30/24,969.66 = 5,549/x
  3. Step 3: Cross multiply
    16,645.30x = 24,969.66 × 5,549
  4. Step 4: Simplify right side
    16,645.30x = 138,556,643.34
  5. Step 5: Solve for x
    x = 138,556,643.34/16,645.30
  6. Step 6: Final answer
    x = 8,324.07

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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.