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Finding the Fourth Proportional to 17,740.98, 24,481.10 and 10,184.90

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Solution

The fourth proportional to 17,740.98, 24,481.10 and 10,184.90 is: 14,054.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.98 : 24,481.10 = 10,184.90 : x
  2. Step 2: Convert to fraction form
    17,740.98/24,481.10 = 10,184.90/x
  3. Step 3: Cross multiply
    17,740.98x = 24,481.10 × 10,184.90
  4. Step 4: Simplify right side
    17,740.98x = 249,337,458.45
  5. Step 5: Solve for x
    x = 249,337,458.45/17,740.98
  6. Step 6: Final answer
    x = 14,054.32

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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.