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Finding the Fourth Proportional to 17,740.22, 24,482.62 and 9,782.44

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Solution

The fourth proportional to 17,740.22, 24,482.62 and 9,782.44 is: 13,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.22 : 24,482.62 = 9,782.44 : x
  2. Step 2: Convert to fraction form
    17,740.22/24,482.62 = 9,782.44/x
  3. Step 3: Cross multiply
    17,740.22x = 24,482.62 × 9,782.44
  4. Step 4: Simplify right side
    17,740.22x = 239,499,712.28
  5. Step 5: Solve for x
    x = 239,499,712.28/17,740.22
  6. Step 6: Final answer
    x = 13,500.38

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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.