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Finding the Fourth Proportional to 21,391.39, 32,087.14 and 9,542.10

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Solution

The fourth proportional to 21,391.39, 32,087.14 and 9,542.10 is: 14,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,391.39 : 32,087.14 = 9,542.10 : x
  2. Step 2: Convert to fraction form
    21,391.39/32,087.14 = 9,542.10/x
  3. Step 3: Cross multiply
    21,391.39x = 32,087.14 × 9,542.10
  4. Step 4: Simplify right side
    21,391.39x = 306,178,795.07
  5. Step 5: Solve for x
    x = 306,178,795.07/21,391.39
  6. Step 6: Final answer
    x = 14,313.18

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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.