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Finding the Fourth Proportional to 28,165.05, 38,869.65 and 16,229.16

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Solution

The fourth proportional to 28,165.05, 38,869.65 and 16,229.16 is: 22,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,165.05 : 38,869.65 = 16,229.16 : x
  2. Step 2: Convert to fraction form
    28,165.05/38,869.65 = 16,229.16/x
  3. Step 3: Cross multiply
    28,165.05x = 38,869.65 × 16,229.16
  4. Step 4: Simplify right side
    28,165.05x = 630,821,768.99
  5. Step 5: Solve for x
    x = 630,821,768.99/28,165.05
  6. Step 6: Final answer
    x = 22,397.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.