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Finding the Fourth Proportional to 17,872.50, 26,802.29 and 5,388.64

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Solution

The fourth proportional to 17,872.50, 26,802.29 and 5,388.64 is: 8,081.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.50 : 26,802.29 = 5,388.64 : x
  2. Step 2: Convert to fraction form
    17,872.50/26,802.29 = 5,388.64/x
  3. Step 3: Cross multiply
    17,872.50x = 26,802.29 × 5,388.64
  4. Step 4: Simplify right side
    17,872.50x = 144,427,876.14
  5. Step 5: Solve for x
    x = 144,427,876.14/17,872.50
  6. Step 6: Final answer
    x = 8,081.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.