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Finding the Fourth Proportional to 22,106.81, 30,498.57 and 13,151.04

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Solution

The fourth proportional to 22,106.81, 30,498.57 and 13,151.04 is: 18,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106.81 : 30,498.57 = 13,151.04 : x
  2. Step 2: Convert to fraction form
    22,106.81/30,498.57 = 13,151.04/x
  3. Step 3: Cross multiply
    22,106.81x = 30,498.57 × 13,151.04
  4. Step 4: Simplify right side
    22,106.81x = 401,087,914.01
  5. Step 5: Solve for x
    x = 401,087,914.01/22,106.81
  6. Step 6: Final answer
    x = 18,143.19

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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.