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Finding the Fourth Proportional to 22,664.64, 33,962.32 and 9,509.83

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Solution

The fourth proportional to 22,664.64, 33,962.32 and 9,509.83 is: 14,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,664.64 : 33,962.32 = 9,509.83 : x
  2. Step 2: Convert to fraction form
    22,664.64/33,962.32 = 9,509.83/x
  3. Step 3: Cross multiply
    22,664.64x = 33,962.32 × 9,509.83
  4. Step 4: Simplify right side
    22,664.64x = 322,975,889.61
  5. Step 5: Solve for x
    x = 322,975,889.61/22,664.64
  6. Step 6: Final answer
    x = 14,250.21

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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.