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Finding the Fourth Proportional to 14,673.02, 21,997.66 and 5,899.50

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Solution

The fourth proportional to 14,673.02, 21,997.66 and 5,899.50 is: 8,844.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,673.02 : 21,997.66 = 5,899.50 : x
  2. Step 2: Convert to fraction form
    14,673.02/21,997.66 = 5,899.50/x
  3. Step 3: Cross multiply
    14,673.02x = 21,997.66 × 5,899.50
  4. Step 4: Simplify right side
    14,673.02x = 129,775,195.17
  5. Step 5: Solve for x
    x = 129,775,195.17/14,673.02
  6. Step 6: Final answer
    x = 8,844.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.