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Finding the Fourth Proportional to 22,681.28, 31,299.36 and 13,256

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Solution

The fourth proportional to 22,681.28, 31,299.36 and 13,256 is: 18,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681.28 : 31,299.36 = 13,256 : x
  2. Step 2: Convert to fraction form
    22,681.28/31,299.36 = 13,256/x
  3. Step 3: Cross multiply
    22,681.28x = 31,299.36 × 13,256
  4. Step 4: Simplify right side
    22,681.28x = 414,904,316.16
  5. Step 5: Solve for x
    x = 414,904,316.16/22,681.28
  6. Step 6: Final answer
    x = 18,292.81

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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.