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Finding the Fourth Proportional to 22,776.49, 31,429.38 and 12,704.14

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Solution

The fourth proportional to 22,776.49, 31,429.38 and 12,704.14 is: 17,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.49 : 31,429.38 = 12,704.14 : x
  2. Step 2: Convert to fraction form
    22,776.49/31,429.38 = 12,704.14/x
  3. Step 3: Cross multiply
    22,776.49x = 31,429.38 × 12,704.14
  4. Step 4: Simplify right side
    22,776.49x = 399,283,243.63
  5. Step 5: Solve for x
    x = 399,283,243.63/22,776.49
  6. Step 6: Final answer
    x = 17,530.50

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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.