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Finding the Fourth Proportional to 22,494.16, 31,041.99 and 12,422.42

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Solution

The fourth proportional to 22,494.16, 31,041.99 and 12,422.42 is: 17,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494.16 : 31,041.99 = 12,422.42 : x
  2. Step 2: Convert to fraction form
    22,494.16/31,041.99 = 12,422.42/x
  3. Step 3: Cross multiply
    22,494.16x = 31,041.99 × 12,422.42
  4. Step 4: Simplify right side
    22,494.16x = 385,616,482.21
  5. Step 5: Solve for x
    x = 385,616,482.21/22,494.16
  6. Step 6: Final answer
    x = 17,142.96

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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.