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Finding the Fourth Proportional to 13,684.06, 18,884.02 and 7,715.71

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Solution

The fourth proportional to 13,684.06, 18,884.02 and 7,715.71 is: 10,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.06 : 18,884.02 = 7,715.71 : x
  2. Step 2: Convert to fraction form
    13,684.06/18,884.02 = 7,715.71/x
  3. Step 3: Cross multiply
    13,684.06x = 18,884.02 × 7,715.71
  4. Step 4: Simplify right side
    13,684.06x = 145,703,641.24
  5. Step 5: Solve for x
    x = 145,703,641.24/13,684.06
  6. Step 6: Final answer
    x = 10,647.69

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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.