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Finding the Fourth Proportional to 19,431.88, 29,105.70 and 12,038.20

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Solution

The fourth proportional to 19,431.88, 29,105.70 and 12,038.20 is: 18,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,431.88 : 29,105.70 = 12,038.20 : x
  2. Step 2: Convert to fraction form
    19,431.88/29,105.70 = 12,038.20/x
  3. Step 3: Cross multiply
    19,431.88x = 29,105.70 × 12,038.20
  4. Step 4: Simplify right side
    19,431.88x = 350,380,237.74
  5. Step 5: Solve for x
    x = 350,380,237.74/19,431.88
  6. Step 6: Final answer
    x = 18,031.21

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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.