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Finding the Fourth Proportional to 22,896.48, 31,597.92 and 14,401.44

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Solution

The fourth proportional to 22,896.48, 31,597.92 and 14,401.44 is: 19,874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896.48 : 31,597.92 = 14,401.44 : x
  2. Step 2: Convert to fraction form
    22,896.48/31,597.92 = 14,401.44/x
  3. Step 3: Cross multiply
    22,896.48x = 31,597.92 × 14,401.44
  4. Step 4: Simplify right side
    22,896.48x = 455,055,549.00
  5. Step 5: Solve for x
    x = 455,055,549.00/22,896.48
  6. Step 6: Final answer
    x = 19,874.48

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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.