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Finding the Fourth Proportional to 22,898.34, 31,593.81 and 13,465.14

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Solution

The fourth proportional to 22,898.34, 31,593.81 and 13,465.14 is: 18,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,898.34 : 31,593.81 = 13,465.14 : x
  2. Step 2: Convert to fraction form
    22,898.34/31,593.81 = 13,465.14/x
  3. Step 3: Cross multiply
    22,898.34x = 31,593.81 × 13,465.14
  4. Step 4: Simplify right side
    22,898.34x = 425,415,074.78
  5. Step 5: Solve for x
    x = 425,415,074.78/22,898.34
  6. Step 6: Final answer
    x = 18,578.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.