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Finding the Fourth Proportional to 22,899.96, 34,343.46 and 10,413

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Solution

The fourth proportional to 22,899.96, 34,343.46 and 10,413 is: 15,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,899.96 : 34,343.46 = 10,413 : x
  2. Step 2: Convert to fraction form
    22,899.96/34,343.46 = 10,413/x
  3. Step 3: Cross multiply
    22,899.96x = 34,343.46 × 10,413
  4. Step 4: Simplify right side
    22,899.96x = 357,618,448.98
  5. Step 5: Solve for x
    x = 357,618,448.98/22,899.96
  6. Step 6: Final answer
    x = 15,616.55

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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.