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Finding the Fourth Proportional to 16,549.86, 24,833.04 and 10,308.30

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Solution

The fourth proportional to 16,549.86, 24,833.04 and 10,308.30 is: 15,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.86 : 24,833.04 = 10,308.30 : x
  2. Step 2: Convert to fraction form
    16,549.86/24,833.04 = 10,308.30/x
  3. Step 3: Cross multiply
    16,549.86x = 24,833.04 × 10,308.30
  4. Step 4: Simplify right side
    16,549.86x = 255,986,426.23
  5. Step 5: Solve for x
    x = 255,986,426.23/16,549.86
  6. Step 6: Final answer
    x = 15,467.59

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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.