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Finding the Fourth Proportional to 14,223.73, 21,293.46 and 10,542.49

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Solution

The fourth proportional to 14,223.73, 21,293.46 and 10,542.49 is: 15,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223.73 : 21,293.46 = 10,542.49 : x
  2. Step 2: Convert to fraction form
    14,223.73/21,293.46 = 10,542.49/x
  3. Step 3: Cross multiply
    14,223.73x = 21,293.46 × 10,542.49
  4. Step 4: Simplify right side
    14,223.73x = 224,486,089.12
  5. Step 5: Solve for x
    x = 224,486,089.12/14,223.73
  6. Step 6: Final answer
    x = 15,782.50

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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.