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Finding the Fourth Proportional to 21,394.94, 32,103.95 and 10,147.68

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Solution

The fourth proportional to 21,394.94, 32,103.95 and 10,147.68 is: 15,226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,394.94 : 32,103.95 = 10,147.68 : x
  2. Step 2: Convert to fraction form
    21,394.94/32,103.95 = 10,147.68/x
  3. Step 3: Cross multiply
    21,394.94x = 32,103.95 × 10,147.68
  4. Step 4: Simplify right side
    21,394.94x = 325,780,560.60
  5. Step 5: Solve for x
    x = 325,780,560.60/21,394.94
  6. Step 6: Final answer
    x = 15,226.99

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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.