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Finding the Fourth Proportional to 17,697.08, 24,421.50 and 9,738.23

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Solution

The fourth proportional to 17,697.08, 24,421.50 and 9,738.23 is: 13,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697.08 : 24,421.50 = 9,738.23 : x
  2. Step 2: Convert to fraction form
    17,697.08/24,421.50 = 9,738.23/x
  3. Step 3: Cross multiply
    17,697.08x = 24,421.50 × 9,738.23
  4. Step 4: Simplify right side
    17,697.08x = 237,822,061.84
  5. Step 5: Solve for x
    x = 237,822,061.84/17,697.08
  6. Step 6: Final answer
    x = 13,438.49

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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.