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Finding the Fourth Proportional to 22,896.17, 31,523.28 and 17,853.92

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Solution

The fourth proportional to 22,896.17, 31,523.28 and 17,853.92 is: 24,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896.17 : 31,523.28 = 17,853.92 : x
  2. Step 2: Convert to fraction form
    22,896.17/31,523.28 = 17,853.92/x
  3. Step 3: Cross multiply
    22,896.17x = 31,523.28 × 17,853.92
  4. Step 4: Simplify right side
    22,896.17x = 562,814,119.26
  5. Step 5: Solve for x
    x = 562,814,119.26/22,896.17
  6. Step 6: Final answer
    x = 24,581.15

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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.