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Finding the Fourth Proportional to 17,350, 26,025.72 and 5,038

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Solution

The fourth proportional to 17,350, 26,025.72 and 5,038 is: 7,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,350 : 26,025.72 = 5,038 : x
  2. Step 2: Convert to fraction form
    17,350/26,025.72 = 5,038/x
  3. Step 3: Cross multiply
    17,350x = 26,025.72 × 5,038
  4. Step 4: Simplify right side
    17,350x = 131,117,577.36
  5. Step 5: Solve for x
    x = 131,117,577.36/17,350
  6. Step 6: Final answer
    x = 7,557.21

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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.