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Finding the Fourth Proportional to 14,485.11, 19,989.76 and 8,197.49

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Solution

The fourth proportional to 14,485.11, 19,989.76 and 8,197.49 is: 11,312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,485.11 : 19,989.76 = 8,197.49 : x
  2. Step 2: Convert to fraction form
    14,485.11/19,989.76 = 8,197.49/x
  3. Step 3: Cross multiply
    14,485.11x = 19,989.76 × 8,197.49
  4. Step 4: Simplify right side
    14,485.11x = 163,865,857.70
  5. Step 5: Solve for x
    x = 163,865,857.70/14,485.11
  6. Step 6: Final answer
    x = 11,312.71

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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.