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Finding the Fourth Proportional to 14,022.54, 21,031.32 and 5,136

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Solution

The fourth proportional to 14,022.54, 21,031.32 and 5,136 is: 7,703.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022.54 : 21,031.32 = 5,136 : x
  2. Step 2: Convert to fraction form
    14,022.54/21,031.32 = 5,136/x
  3. Step 3: Cross multiply
    14,022.54x = 21,031.32 × 5,136
  4. Step 4: Simplify right side
    14,022.54x = 108,016,859.52
  5. Step 5: Solve for x
    x = 108,016,859.52/14,022.54
  6. Step 6: Final answer
    x = 7,703.09

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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.