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Finding the Fourth Proportional to 12,570.42, 18,857.95 and 4,137.41

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Solution

The fourth proportional to 12,570.42, 18,857.95 and 4,137.41 is: 6,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.42 : 18,857.95 = 4,137.41 : x
  2. Step 2: Convert to fraction form
    12,570.42/18,857.95 = 4,137.41/x
  3. Step 3: Cross multiply
    12,570.42x = 18,857.95 × 4,137.41
  4. Step 4: Simplify right side
    12,570.42x = 78,023,107.71
  5. Step 5: Solve for x
    x = 78,023,107.71/12,570.42
  6. Step 6: Final answer
    x = 6,206.88

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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.