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Finding the Fourth Proportional to 14,312.92, 21,468.56 and 3,782.64

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Solution

The fourth proportional to 14,312.92, 21,468.56 and 3,782.64 is: 5,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.92 : 21,468.56 = 3,782.64 : x
  2. Step 2: Convert to fraction form
    14,312.92/21,468.56 = 3,782.64/x
  3. Step 3: Cross multiply
    14,312.92x = 21,468.56 × 3,782.64
  4. Step 4: Simplify right side
    14,312.92x = 81,207,833.80
  5. Step 5: Solve for x
    x = 81,207,833.80/14,312.92
  6. Step 6: Final answer
    x = 5,673.74

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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.