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Finding the Fourth Proportional to 21,304.53, 31,965.56 and 8,827.06

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Solution

The fourth proportional to 21,304.53, 31,965.56 and 8,827.06 is: 13,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,304.53 : 31,965.56 = 8,827.06 : x
  2. Step 2: Convert to fraction form
    21,304.53/31,965.56 = 8,827.06/x
  3. Step 3: Cross multiply
    21,304.53x = 31,965.56 × 8,827.06
  4. Step 4: Simplify right side
    21,304.53x = 282,161,938.12
  5. Step 5: Solve for x
    x = 282,161,938.12/21,304.53
  6. Step 6: Final answer
    x = 13,244.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.