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Finding the Fourth Proportional to 29,284.57, 40,412.70 and 15,855.82

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Solution

The fourth proportional to 29,284.57, 40,412.70 and 15,855.82 is: 21,881.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,284.57 : 40,412.70 = 15,855.82 : x
  2. Step 2: Convert to fraction form
    29,284.57/40,412.70 = 15,855.82/x
  3. Step 3: Cross multiply
    29,284.57x = 40,412.70 × 15,855.82
  4. Step 4: Simplify right side
    29,284.57x = 640,776,496.91
  5. Step 5: Solve for x
    x = 640,776,496.91/29,284.57
  6. Step 6: Final answer
    x = 21,881.03

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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.