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Finding the Fourth Proportional to 22,166.53, 30,585.63 and 13,214.87

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Solution

The fourth proportional to 22,166.53, 30,585.63 and 13,214.87 is: 18,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,166.53 : 30,585.63 = 13,214.87 : x
  2. Step 2: Convert to fraction form
    22,166.53/30,585.63 = 13,214.87/x
  3. Step 3: Cross multiply
    22,166.53x = 30,585.63 × 13,214.87
  4. Step 4: Simplify right side
    22,166.53x = 404,185,036.53
  5. Step 5: Solve for x
    x = 404,185,036.53/22,166.53
  6. Step 6: Final answer
    x = 18,234.02

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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.