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Finding the Fourth Proportional to 22,982.84, 31,714.08 and 12,909

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Solution

The fourth proportional to 22,982.84, 31,714.08 and 12,909 is: 17,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.84 : 31,714.08 = 12,909 : x
  2. Step 2: Convert to fraction form
    22,982.84/31,714.08 = 12,909/x
  3. Step 3: Cross multiply
    22,982.84x = 31,714.08 × 12,909
  4. Step 4: Simplify right side
    22,982.84x = 409,397,058.72
  5. Step 5: Solve for x
    x = 409,397,058.72/22,982.84
  6. Step 6: Final answer
    x = 17,813.16

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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.