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Finding the Fourth Proportional to 12,840.40, 19,257.90 and 5,445.10

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Solution

The fourth proportional to 12,840.40, 19,257.90 and 5,445.10 is: 8,166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.40 : 19,257.90 = 5,445.10 : x
  2. Step 2: Convert to fraction form
    12,840.40/19,257.90 = 5,445.10/x
  3. Step 3: Cross multiply
    12,840.40x = 19,257.90 × 5,445.10
  4. Step 4: Simplify right side
    12,840.40x = 104,861,191.29
  5. Step 5: Solve for x
    x = 104,861,191.29/12,840.40
  6. Step 6: Final answer
    x = 8,166.51

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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.