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Finding the Fourth Proportional to 12,801.96, 19,205.55 and 7,257.78

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Solution

The fourth proportional to 12,801.96, 19,205.55 and 7,257.78 is: 10,888.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.96 : 19,205.55 = 7,257.78 : x
  2. Step 2: Convert to fraction form
    12,801.96/19,205.55 = 7,257.78/x
  3. Step 3: Cross multiply
    12,801.96x = 19,205.55 × 7,257.78
  4. Step 4: Simplify right side
    12,801.96x = 139,389,656.68
  5. Step 5: Solve for x
    x = 139,389,656.68/12,801.96
  6. Step 6: Final answer
    x = 10,888.15

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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.