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Finding the Fourth Proportional to 17,715.61, 24,446.64 and 9,757.67

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Solution

The fourth proportional to 17,715.61, 24,446.64 and 9,757.67 is: 13,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715.61 : 24,446.64 = 9,757.67 : x
  2. Step 2: Convert to fraction form
    17,715.61/24,446.64 = 9,757.67/x
  3. Step 3: Cross multiply
    17,715.61x = 24,446.64 × 9,757.67
  4. Step 4: Simplify right side
    17,715.61x = 238,542,160.09
  5. Step 5: Solve for x
    x = 238,542,160.09/17,715.61
  6. Step 6: Final answer
    x = 13,465.08

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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.