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Finding the Fourth Proportional to 22,333.81, 30,814.14 and 15,962.35

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Solution

The fourth proportional to 22,333.81, 30,814.14 and 15,962.35 is: 22,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,333.81 : 30,814.14 = 15,962.35 : x
  2. Step 2: Convert to fraction form
    22,333.81/30,814.14 = 15,962.35/x
  3. Step 3: Cross multiply
    22,333.81x = 30,814.14 × 15,962.35
  4. Step 4: Simplify right side
    22,333.81x = 491,866,087.63
  5. Step 5: Solve for x
    x = 491,866,087.63/22,333.81
  6. Step 6: Final answer
    x = 22,023.38

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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.