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Finding the Fourth Proportional to 22,116.51, 30,508.92 and 14,150.16

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Solution

The fourth proportional to 22,116.51, 30,508.92 and 14,150.16 is: 19,519.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,116.51 : 30,508.92 = 14,150.16 : x
  2. Step 2: Convert to fraction form
    22,116.51/30,508.92 = 14,150.16/x
  3. Step 3: Cross multiply
    22,116.51x = 30,508.92 × 14,150.16
  4. Step 4: Simplify right side
    22,116.51x = 431,706,099.43
  5. Step 5: Solve for x
    x = 431,706,099.43/22,116.51
  6. Step 6: Final answer
    x = 19,519.63

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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.