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Finding the Fourth Proportional to 13,684.35, 18,882.80 and 7,715.67

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Solution

The fourth proportional to 13,684.35, 18,882.80 and 7,715.67 is: 10,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.35 : 18,882.80 = 7,715.67 : x
  2. Step 2: Convert to fraction form
    13,684.35/18,882.80 = 7,715.67/x
  3. Step 3: Cross multiply
    13,684.35x = 18,882.80 × 7,715.67
  4. Step 4: Simplify right side
    13,684.35x = 145,693,373.02
  5. Step 5: Solve for x
    x = 145,693,373.02/13,684.35
  6. Step 6: Final answer
    x = 10,646.71

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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.