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Finding the Fourth Proportional to 12,951.40, 19,427.10 and 5,165.80

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Solution

The fourth proportional to 12,951.40, 19,427.10 and 5,165.80 is: 7,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.40 : 19,427.10 = 5,165.80 : x
  2. Step 2: Convert to fraction form
    12,951.40/19,427.10 = 5,165.80/x
  3. Step 3: Cross multiply
    12,951.40x = 19,427.10 × 5,165.80
  4. Step 4: Simplify right side
    12,951.40x = 100,356,513.18
  5. Step 5: Solve for x
    x = 100,356,513.18/12,951.40
  6. Step 6: Final answer
    x = 7,748.70

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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.