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Finding the Fourth Proportional to 13,197.66, 19,798.12 and 4,312.78

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Solution

The fourth proportional to 13,197.66, 19,798.12 and 4,312.78 is: 6,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.66 : 19,798.12 = 4,312.78 : x
  2. Step 2: Convert to fraction form
    13,197.66/19,798.12 = 4,312.78/x
  3. Step 3: Cross multiply
    13,197.66x = 19,798.12 × 4,312.78
  4. Step 4: Simplify right side
    13,197.66x = 85,384,935.97
  5. Step 5: Solve for x
    x = 85,384,935.97/13,197.66
  6. Step 6: Final answer
    x = 6,469.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.