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Finding the Fourth Proportional to 12,103.16, 18,159.17 and 3,783.78

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Solution

The fourth proportional to 12,103.16, 18,159.17 and 3,783.78 is: 5,677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.16 : 18,159.17 = 3,783.78 : x
  2. Step 2: Convert to fraction form
    12,103.16/18,159.17 = 3,783.78/x
  3. Step 3: Cross multiply
    12,103.16x = 18,159.17 × 3,783.78
  4. Step 4: Simplify right side
    12,103.16x = 68,710,285.34
  5. Step 5: Solve for x
    x = 68,710,285.34/12,103.16
  6. Step 6: Final answer
    x = 5,677.06

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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.