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Finding the Fourth Proportional to 21,019.84, 31,522.82 and 7,689.80

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Solution

The fourth proportional to 21,019.84, 31,522.82 and 7,689.80 is: 11,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,019.84 : 31,522.82 = 7,689.80 : x
  2. Step 2: Convert to fraction form
    21,019.84/31,522.82 = 7,689.80/x
  3. Step 3: Cross multiply
    21,019.84x = 31,522.82 × 7,689.80
  4. Step 4: Simplify right side
    21,019.84x = 242,404,221.59
  5. Step 5: Solve for x
    x = 242,404,221.59/21,019.84
  6. Step 6: Final answer
    x = 11,532.16

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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.