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Finding the Fourth Proportional to 27,822.40, 38,396.98 and 17,218.20

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Solution

The fourth proportional to 27,822.40, 38,396.98 and 17,218.20 is: 23,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.40 : 38,396.98 = 17,218.20 : x
  2. Step 2: Convert to fraction form
    27,822.40/38,396.98 = 17,218.20/x
  3. Step 3: Cross multiply
    27,822.40x = 38,396.98 × 17,218.20
  4. Step 4: Simplify right side
    27,822.40x = 661,126,881.04
  5. Step 5: Solve for x
    x = 661,126,881.04/27,822.40
  6. Step 6: Final answer
    x = 23,762.40

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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.