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Finding the Fourth Proportional to 22,982, 31,715.16 and 13,046

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Solution

The fourth proportional to 22,982, 31,715.16 and 13,046 is: 18,003.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982 : 31,715.16 = 13,046 : x
  2. Step 2: Convert to fraction form
    22,982/31,715.16 = 13,046/x
  3. Step 3: Cross multiply
    22,982x = 31,715.16 × 13,046
  4. Step 4: Simplify right side
    22,982x = 413,755,977.36
  5. Step 5: Solve for x
    x = 413,755,977.36/22,982
  6. Step 6: Final answer
    x = 18,003.48

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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.