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Finding the Fourth Proportional to 19,846.12, 29,775.66 and 14,294.92

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Solution

The fourth proportional to 19,846.12, 29,775.66 and 14,294.92 is: 21,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846.12 : 29,775.66 = 14,294.92 : x
  2. Step 2: Convert to fraction form
    19,846.12/29,775.66 = 14,294.92/x
  3. Step 3: Cross multiply
    19,846.12x = 29,775.66 × 14,294.92
  4. Step 4: Simplify right side
    19,846.12x = 425,640,677.65
  5. Step 5: Solve for x
    x = 425,640,677.65/19,846.12
  6. Step 6: Final answer
    x = 21,447.05

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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.