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Finding the Fourth Proportional to 22,496.38, 31,045 and 13,065.55

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Solution

The fourth proportional to 22,496.38, 31,045 and 13,065.55 is: 18,030.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.38 : 31,045 = 13,065.55 : x
  2. Step 2: Convert to fraction form
    22,496.38/31,045 = 13,065.55/x
  3. Step 3: Cross multiply
    22,496.38x = 31,045 × 13,065.55
  4. Step 4: Simplify right side
    22,496.38x = 405,619,999.75
  5. Step 5: Solve for x
    x = 405,619,999.75/22,496.38
  6. Step 6: Final answer
    x = 18,030.46

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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.