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Finding the Fourth Proportional to 12,019.79, 18,031.21 and 4,120.17

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Solution

The fourth proportional to 12,019.79, 18,031.21 and 4,120.17 is: 6,180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.79 : 18,031.21 = 4,120.17 : x
  2. Step 2: Convert to fraction form
    12,019.79/18,031.21 = 4,120.17/x
  3. Step 3: Cross multiply
    12,019.79x = 18,031.21 × 4,120.17
  4. Step 4: Simplify right side
    12,019.79x = 74,291,572.59
  5. Step 5: Solve for x
    x = 74,291,572.59/12,019.79
  6. Step 6: Final answer
    x = 6,180.77

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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.