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Finding the Fourth Proportional to 17,919.63, 24,728.39 and 9,961.28

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Solution

The fourth proportional to 17,919.63, 24,728.39 and 9,961.28 is: 13,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,919.63 : 24,728.39 = 9,961.28 : x
  2. Step 2: Convert to fraction form
    17,919.63/24,728.39 = 9,961.28/x
  3. Step 3: Cross multiply
    17,919.63x = 24,728.39 × 9,961.28
  4. Step 4: Simplify right side
    17,919.63x = 246,326,373.38
  5. Step 5: Solve for x
    x = 246,326,373.38/17,919.63
  6. Step 6: Final answer
    x = 13,746.18

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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.