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Finding the Fourth Proportional to 14,358.69, 21,542.13 and 6,034.41

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Solution

The fourth proportional to 14,358.69, 21,542.13 and 6,034.41 is: 9,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358.69 : 21,542.13 = 6,034.41 : x
  2. Step 2: Convert to fraction form
    14,358.69/21,542.13 = 6,034.41/x
  3. Step 3: Cross multiply
    14,358.69x = 21,542.13 × 6,034.41
  4. Step 4: Simplify right side
    14,358.69x = 129,994,044.69
  5. Step 5: Solve for x
    x = 129,994,044.69/14,358.69
  6. Step 6: Final answer
    x = 9,053.34

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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.