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Finding the Fourth Proportional to 22,619.96, 31,214.96 and 12,548.38

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Solution

The fourth proportional to 22,619.96, 31,214.96 and 12,548.38 is: 17,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,619.96 : 31,214.96 = 12,548.38 : x
  2. Step 2: Convert to fraction form
    22,619.96/31,214.96 = 12,548.38/x
  3. Step 3: Cross multiply
    22,619.96x = 31,214.96 × 12,548.38
  4. Step 4: Simplify right side
    22,619.96x = 391,697,179.76
  5. Step 5: Solve for x
    x = 391,697,179.76/22,619.96
  6. Step 6: Final answer
    x = 17,316.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.