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Finding the Fourth Proportional to 13,684.12, 18,883.74 and 7,715.68

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Solution

The fourth proportional to 13,684.12, 18,883.74 and 7,715.68 is: 10,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.12 : 18,883.74 = 7,715.68 : x
  2. Step 2: Convert to fraction form
    13,684.12/18,883.74 = 7,715.68/x
  3. Step 3: Cross multiply
    13,684.12x = 18,883.74 × 7,715.68
  4. Step 4: Simplify right side
    13,684.12x = 145,700,895.04
  5. Step 5: Solve for x
    x = 145,700,895.04/13,684.12
  6. Step 6: Final answer
    x = 10,647.44

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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.