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Finding the Fourth Proportional to 19,685.85, 29,513.17 and 9,820.05

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Solution

The fourth proportional to 19,685.85, 29,513.17 and 9,820.05 is: 14,722.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,685.85 : 29,513.17 = 9,820.05 : x
  2. Step 2: Convert to fraction form
    19,685.85/29,513.17 = 9,820.05/x
  3. Step 3: Cross multiply
    19,685.85x = 29,513.17 × 9,820.05
  4. Step 4: Simplify right side
    19,685.85x = 289,820,805.06
  5. Step 5: Solve for x
    x = 289,820,805.06/19,685.85
  6. Step 6: Final answer
    x = 14,722.29

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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.