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Finding the Fourth Proportional to 22,333, 33,509.73 and 9,686.63

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Solution

The fourth proportional to 22,333, 33,509.73 and 9,686.63 is: 14,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,333 : 33,509.73 = 9,686.63 : x
  2. Step 2: Convert to fraction form
    22,333/33,509.73 = 9,686.63/x
  3. Step 3: Cross multiply
    22,333x = 33,509.73 × 9,686.63
  4. Step 4: Simplify right side
    22,333x = 324,596,355.91
  5. Step 5: Solve for x
    x = 324,596,355.91/22,333
  6. Step 6: Final answer
    x = 14,534.38

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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.