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Finding the Fourth Proportional to 24,577.35, 33,916.42 and 13,822.22

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Solution

The fourth proportional to 24,577.35, 33,916.42 and 13,822.22 is: 19,074.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,577.35 : 33,916.42 = 13,822.22 : x
  2. Step 2: Convert to fraction form
    24,577.35/33,916.42 = 13,822.22/x
  3. Step 3: Cross multiply
    24,577.35x = 33,916.42 × 13,822.22
  4. Step 4: Simplify right side
    24,577.35x = 468,800,278.53
  5. Step 5: Solve for x
    x = 468,800,278.53/24,577.35
  6. Step 6: Final answer
    x = 19,074.48

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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.