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Finding the Fourth Proportional to 22,536.60, 31,099.92 and 12,464.76

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Solution

The fourth proportional to 22,536.60, 31,099.92 and 12,464.76 is: 17,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536.60 : 31,099.92 = 12,464.76 : x
  2. Step 2: Convert to fraction form
    22,536.60/31,099.92 = 12,464.76/x
  3. Step 3: Cross multiply
    22,536.60x = 31,099.92 × 12,464.76
  4. Step 4: Simplify right side
    22,536.60x = 387,653,038.82
  5. Step 5: Solve for x
    x = 387,653,038.82/22,536.60
  6. Step 6: Final answer
    x = 17,201.04

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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.