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Finding the Fourth Proportional to 17,698.50, 24,423.64 and 9,740.57

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Solution

The fourth proportional to 17,698.50, 24,423.64 and 9,740.57 is: 13,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698.50 : 24,423.64 = 9,740.57 : x
  2. Step 2: Convert to fraction form
    17,698.50/24,423.64 = 9,740.57/x
  3. Step 3: Cross multiply
    17,698.50x = 24,423.64 × 9,740.57
  4. Step 4: Simplify right side
    17,698.50x = 237,900,028.61
  5. Step 5: Solve for x
    x = 237,900,028.61/17,698.50
  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.