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Finding the Fourth Proportional to 22,909.93, 31,612.49 and 12,837.58

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Solution

The fourth proportional to 22,909.93, 31,612.49 and 12,837.58 is: 17,714.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.93 : 31,612.49 = 12,837.58 : x
  2. Step 2: Convert to fraction form
    22,909.93/31,612.49 = 12,837.58/x
  3. Step 3: Cross multiply
    22,909.93x = 31,612.49 × 12,837.58
  4. Step 4: Simplify right side
    22,909.93x = 405,827,869.37
  5. Step 5: Solve for x
    x = 405,827,869.37/22,909.93
  6. Step 6: Final answer
    x = 17,714.06

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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.