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Finding the Fourth Proportional to 14,693.81, 22,033.89 and 5,332.64

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Solution

The fourth proportional to 14,693.81, 22,033.89 and 5,332.64 is: 7,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.81 : 22,033.89 = 5,332.64 : x
  2. Step 2: Convert to fraction form
    14,693.81/22,033.89 = 5,332.64/x
  3. Step 3: Cross multiply
    14,693.81x = 22,033.89 × 5,332.64
  4. Step 4: Simplify right side
    14,693.81x = 117,498,693.00
  5. Step 5: Solve for x
    x = 117,498,693.00/14,693.81
  6. Step 6: Final answer
    x = 7,996.48

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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.