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Finding the Fourth Proportional to 22,894.12, 31,589.94 and 13,464.46

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Solution

The fourth proportional to 22,894.12, 31,589.94 and 13,464.46 is: 18,578.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,894.12 : 31,589.94 = 13,464.46 : x
  2. Step 2: Convert to fraction form
    22,894.12/31,589.94 = 13,464.46/x
  3. Step 3: Cross multiply
    22,894.12x = 31,589.94 × 13,464.46
  4. Step 4: Simplify right side
    22,894.12x = 425,341,483.53
  5. Step 5: Solve for x
    x = 425,341,483.53/22,894.12
  6. Step 6: Final answer
    x = 18,578.63

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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.