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Finding the Fourth Proportional to 17,975.46, 24,805.08 and 10,421.20

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Solution

The fourth proportional to 17,975.46, 24,805.08 and 10,421.20 is: 14,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,975.46 : 24,805.08 = 10,421.20 : x
  2. Step 2: Convert to fraction form
    17,975.46/24,805.08 = 10,421.20/x
  3. Step 3: Cross multiply
    17,975.46x = 24,805.08 × 10,421.20
  4. Step 4: Simplify right side
    17,975.46x = 258,498,699.70
  5. Step 5: Solve for x
    x = 258,498,699.70/17,975.46
  6. Step 6: Final answer
    x = 14,380.64

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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.