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Finding the Fourth Proportional to 12,851.80, 19,277.76 and 5,454.40

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Solution

The fourth proportional to 12,851.80, 19,277.76 and 5,454.40 is: 8,181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.80 : 19,277.76 = 5,454.40 : x
  2. Step 2: Convert to fraction form
    12,851.80/19,277.76 = 5,454.40/x
  3. Step 3: Cross multiply
    12,851.80x = 19,277.76 × 5,454.40
  4. Step 4: Simplify right side
    12,851.80x = 105,148,614.14
  5. Step 5: Solve for x
    x = 105,148,614.14/12,851.80
  6. Step 6: Final answer
    x = 8,181.63

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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.