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Finding the Fourth Proportional to 21,822.79, 30,118.32 and 13,323.16

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Solution

The fourth proportional to 21,822.79, 30,118.32 and 13,323.16 is: 18,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822.79 : 30,118.32 = 13,323.16 : x
  2. Step 2: Convert to fraction form
    21,822.79/30,118.32 = 13,323.16/x
  3. Step 3: Cross multiply
    21,822.79x = 30,118.32 × 13,323.16
  4. Step 4: Simplify right side
    21,822.79x = 401,271,196.29
  5. Step 5: Solve for x
    x = 401,271,196.29/21,822.79
  6. Step 6: Final answer
    x = 18,387.71

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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.