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Finding the Fourth Proportional to 22,813.43, 31,482.20 and 12,742.01

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Solution

The fourth proportional to 22,813.43, 31,482.20 and 12,742.01 is: 17,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813.43 : 31,482.20 = 12,742.01 : x
  2. Step 2: Convert to fraction form
    22,813.43/31,482.20 = 12,742.01/x
  3. Step 3: Cross multiply
    22,813.43x = 31,482.20 × 12,742.01
  4. Step 4: Simplify right side
    22,813.43x = 401,146,451.94
  5. Step 5: Solve for x
    x = 401,146,451.94/22,813.43
  6. Step 6: Final answer
    x = 17,583.79

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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.