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Finding the Fourth Proportional to 22,231.17, 30,678.90 and 12,159.63

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Solution

The fourth proportional to 22,231.17, 30,678.90 and 12,159.63 is: 16,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,231.17 : 30,678.90 = 12,159.63 : x
  2. Step 2: Convert to fraction form
    22,231.17/30,678.90 = 12,159.63/x
  3. Step 3: Cross multiply
    22,231.17x = 30,678.90 × 12,159.63
  4. Step 4: Simplify right side
    22,231.17x = 373,044,072.81
  5. Step 5: Solve for x
    x = 373,044,072.81/22,231.17
  6. Step 6: Final answer
    x = 16,780.23

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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.