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Finding the Fourth Proportional to 22,897.49, 31,599.72 and 12,825.34

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Solution

The fourth proportional to 22,897.49, 31,599.72 and 12,825.34 is: 17,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.49 : 31,599.72 = 12,825.34 : x
  2. Step 2: Convert to fraction form
    22,897.49/31,599.72 = 12,825.34/x
  3. Step 3: Cross multiply
    22,897.49x = 31,599.72 × 12,825.34
  4. Step 4: Simplify right side
    22,897.49x = 405,277,073.91
  5. Step 5: Solve for x
    x = 405,277,073.91/22,897.49
  6. Step 6: Final answer
    x = 17,699.63

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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.