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Finding the Fourth Proportional to 22,535.80, 31,097.76 and 12,464.36

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Solution

The fourth proportional to 22,535.80, 31,097.76 and 12,464.36 is: 17,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,535.80 : 31,097.76 = 12,464.36 : x
  2. Step 2: Convert to fraction form
    22,535.80/31,097.76 = 12,464.36/x
  3. Step 3: Cross multiply
    22,535.80x = 31,097.76 × 12,464.36
  4. Step 4: Simplify right side
    22,535.80x = 387,613,675.83
  5. Step 5: Solve for x
    x = 387,613,675.83/22,535.80
  6. Step 6: Final answer
    x = 17,199.91

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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.