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Finding the Fourth Proportional to 22,914.33, 31,623.03 and 12,842.19

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Solution

The fourth proportional to 22,914.33, 31,623.03 and 12,842.19 is: 17,722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,914.33 : 31,623.03 = 12,842.19 : x
  2. Step 2: Convert to fraction form
    22,914.33/31,623.03 = 12,842.19/x
  3. Step 3: Cross multiply
    22,914.33x = 31,623.03 × 12,842.19
  4. Step 4: Simplify right side
    22,914.33x = 406,108,959.64
  5. Step 5: Solve for x
    x = 406,108,959.64/22,914.33
  6. Step 6: Final answer
    x = 17,722.93

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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.