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Finding the Fourth Proportional to 14,452.02, 19,943.28 and 8,164.26

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Solution

The fourth proportional to 14,452.02, 19,943.28 and 8,164.26 is: 11,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.02 : 19,943.28 = 8,164.26 : x
  2. Step 2: Convert to fraction form
    14,452.02/19,943.28 = 8,164.26/x
  3. Step 3: Cross multiply
    14,452.02x = 19,943.28 × 8,164.26
  4. Step 4: Simplify right side
    14,452.02x = 162,822,123.17
  5. Step 5: Solve for x
    x = 162,822,123.17/14,452.02
  6. Step 6: Final answer
    x = 11,266.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.