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Finding the Fourth Proportional to 17,700.12, 24,425.23 and 9,740.82

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Solution

The fourth proportional to 17,700.12, 24,425.23 and 9,740.82 is: 13,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700.12 : 24,425.23 = 9,740.82 : x
  2. Step 2: Convert to fraction form
    17,700.12/24,425.23 = 9,740.82/x
  3. Step 3: Cross multiply
    17,700.12x = 24,425.23 × 9,740.82
  4. Step 4: Simplify right side
    17,700.12x = 237,921,768.89
  5. Step 5: Solve for x
    x = 237,921,768.89/17,700.12
  6. Step 6: Final answer
    x = 13,441.82

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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.