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Finding the Fourth Proportional to 12,902.84, 19,354.26 and 3,542.90

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Solution

The fourth proportional to 12,902.84, 19,354.26 and 3,542.90 is: 5,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.84 : 19,354.26 = 3,542.90 : x
  2. Step 2: Convert to fraction form
    12,902.84/19,354.26 = 3,542.90/x
  3. Step 3: Cross multiply
    12,902.84x = 19,354.26 × 3,542.90
  4. Step 4: Simplify right side
    12,902.84x = 68,570,207.75
  5. Step 5: Solve for x
    x = 68,570,207.75/12,902.84
  6. Step 6: Final answer
    x = 5,314.35

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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.