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Finding the Fourth Proportional to 14,576.70, 21,875.70 and 5,814.12

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Solution

The fourth proportional to 14,576.70, 21,875.70 and 5,814.12 is: 8,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.70 : 21,875.70 = 5,814.12 : x
  2. Step 2: Convert to fraction form
    14,576.70/21,875.70 = 5,814.12/x
  3. Step 3: Cross multiply
    14,576.70x = 21,875.70 × 5,814.12
  4. Step 4: Simplify right side
    14,576.70x = 127,187,944.88
  5. Step 5: Solve for x
    x = 127,187,944.88/14,576.70
  6. Step 6: Final answer
    x = 8,725.43

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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.