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Finding the Fourth Proportional to 12,712.10, 19,073.55 and 6,134.90

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Solution

The fourth proportional to 12,712.10, 19,073.55 and 6,134.90 is: 9,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.10 : 19,073.55 = 6,134.90 : x
  2. Step 2: Convert to fraction form
    12,712.10/19,073.55 = 6,134.90/x
  3. Step 3: Cross multiply
    12,712.10x = 19,073.55 × 6,134.90
  4. Step 4: Simplify right side
    12,712.10x = 117,014,321.90
  5. Step 5: Solve for x
    x = 117,014,321.90/12,712.10
  6. Step 6: Final answer
    x = 9,204.96

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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.