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Finding the Fourth Proportional to 12,861.40, 19,292.10 and 4,097.20

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Solution

The fourth proportional to 12,861.40, 19,292.10 and 4,097.20 is: 6,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.40 : 19,292.10 = 4,097.20 : x
  2. Step 2: Convert to fraction form
    12,861.40/19,292.10 = 4,097.20/x
  3. Step 3: Cross multiply
    12,861.40x = 19,292.10 × 4,097.20
  4. Step 4: Simplify right side
    12,861.40x = 79,043,592.12
  5. Step 5: Solve for x
    x = 79,043,592.12/12,861.40
  6. Step 6: Final answer
    x = 6,145.80

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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.