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Finding the Fourth Proportional to 22,536.55, 31,099.21 and 12,464.40

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Solution

The fourth proportional to 22,536.55, 31,099.21 and 12,464.40 is: 17,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536.55 : 31,099.21 = 12,464.40 : x
  2. Step 2: Convert to fraction form
    22,536.55/31,099.21 = 12,464.40/x
  3. Step 3: Cross multiply
    22,536.55x = 31,099.21 × 12,464.40
  4. Step 4: Simplify right side
    22,536.55x = 387,632,993.12
  5. Step 5: Solve for x
    x = 387,632,993.12/22,536.55
  6. Step 6: Final answer
    x = 17,200.20

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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.