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Finding the Fourth Proportional to 21,701.40, 32,544 and 9,222.38

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Solution

The fourth proportional to 21,701.40, 32,544 and 9,222.38 is: 13,830.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,701.40 : 32,544 = 9,222.38 : x
  2. Step 2: Convert to fraction form
    21,701.40/32,544 = 9,222.38/x
  3. Step 3: Cross multiply
    21,701.40x = 32,544 × 9,222.38
  4. Step 4: Simplify right side
    21,701.40x = 300,132,972
  5. Step 5: Solve for x
    x = 300,132,972/21,701.40
  6. Step 6: Final answer
    x = 13,830.12

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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.