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Finding the Fourth Proportional to 17,496, 26,249.12 and 5,184.32

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Solution

The fourth proportional to 17,496, 26,249.12 and 5,184.32 is: 7,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,496 : 26,249.12 = 5,184.32 : x
  2. Step 2: Convert to fraction form
    17,496/26,249.12 = 5,184.32/x
  3. Step 3: Cross multiply
    17,496x = 26,249.12 × 5,184.32
  4. Step 4: Simplify right side
    17,496x = 136,083,837.80
  5. Step 5: Solve for x
    x = 136,083,837.80/17,496
  6. Step 6: Final answer
    x = 7,778.00

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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.