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Finding the Fourth Proportional to 17,698.15, 24,422.88 and 9,740.98

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Solution

The fourth proportional to 17,698.15, 24,422.88 and 9,740.98 is: 13,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698.15 : 24,422.88 = 9,740.98 : x
  2. Step 2: Convert to fraction form
    17,698.15/24,422.88 = 9,740.98/x
  3. Step 3: Cross multiply
    17,698.15x = 24,422.88 × 9,740.98
  4. Step 4: Simplify right side
    17,698.15x = 237,902,785.62
  5. Step 5: Solve for x
    x = 237,902,785.62/17,698.15
  6. Step 6: Final answer
    x = 13,442.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.