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Finding the Fourth Proportional to 22,536.53, 31,100.15 and 12,464.18

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Solution

The fourth proportional to 22,536.53, 31,100.15 and 12,464.18 is: 17,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536.53 : 31,100.15 = 12,464.18 : x
  2. Step 2: Convert to fraction form
    22,536.53/31,100.15 = 12,464.18/x
  3. Step 3: Cross multiply
    22,536.53x = 31,100.15 × 12,464.18
  4. Step 4: Simplify right side
    22,536.53x = 387,637,805.31
  5. Step 5: Solve for x
    x = 387,637,805.31/22,536.53
  6. Step 6: Final answer
    x = 17,200.42

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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.