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Finding the Fourth Proportional to 29,284.14, 40,412.05 and 15,855.40

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Solution

The fourth proportional to 29,284.14, 40,412.05 and 15,855.40 is: 21,880.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,284.14 : 40,412.05 = 15,855.40 : x
  2. Step 2: Convert to fraction form
    29,284.14/40,412.05 = 15,855.40/x
  3. Step 3: Cross multiply
    29,284.14x = 40,412.05 × 15,855.40
  4. Step 4: Simplify right side
    29,284.14x = 640,749,217.57
  5. Step 5: Solve for x
    x = 640,749,217.57/29,284.14
  6. Step 6: Final answer
    x = 21,880.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.