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Finding the Fourth Proportional to 12,775.68, 19,160.64 and 3,542.40

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Solution

The fourth proportional to 12,775.68, 19,160.64 and 3,542.40 is: 5,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.68 : 19,160.64 = 3,542.40 : x
  2. Step 2: Convert to fraction form
    12,775.68/19,160.64 = 3,542.40/x
  3. Step 3: Cross multiply
    12,775.68x = 19,160.64 × 3,542.40
  4. Step 4: Simplify right side
    12,775.68x = 67,874,651.14
  5. Step 5: Solve for x
    x = 67,874,651.14/12,775.68
  6. Step 6: Final answer
    x = 5,312.80

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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.