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Finding the Fourth Proportional to 12,937.60, 19,396.80 and 5,142.40

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Solution

The fourth proportional to 12,937.60, 19,396.80 and 5,142.40 is: 7,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937.60 : 19,396.80 = 5,142.40 : x
  2. Step 2: Convert to fraction form
    12,937.60/19,396.80 = 5,142.40/x
  3. Step 3: Cross multiply
    12,937.60x = 19,396.80 × 5,142.40
  4. Step 4: Simplify right side
    12,937.60x = 99,746,104.32
  5. Step 5: Solve for x
    x = 99,746,104.32/12,937.60
  6. Step 6: Final answer
    x = 7,709.78

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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.