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Finding the Fourth Proportional to 22,504.14, 31,058.46 and 13,072.74

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Solution

The fourth proportional to 22,504.14, 31,058.46 and 13,072.74 is: 18,041.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,504.14 : 31,058.46 = 13,072.74 : x
  2. Step 2: Convert to fraction form
    22,504.14/31,058.46 = 13,072.74/x
  3. Step 3: Cross multiply
    22,504.14x = 31,058.46 × 13,072.74
  4. Step 4: Simplify right side
    22,504.14x = 406,019,172.38
  5. Step 5: Solve for x
    x = 406,019,172.38/22,504.14
  6. Step 6: Final answer
    x = 18,041.98

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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.