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Finding the Fourth Proportional to 22,383, 33,574.50 and 8,532

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Solution

The fourth proportional to 22,383, 33,574.50 and 8,532 is: 12,798

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,383 : 33,574.50 = 8,532 : x
  2. Step 2: Convert to fraction form
    22,383/33,574.50 = 8,532/x
  3. Step 3: Cross multiply
    22,383x = 33,574.50 × 8,532
  4. Step 4: Simplify right side
    22,383x = 286,457,634
  5. Step 5: Solve for x
    x = 286,457,634/22,383
  6. Step 6: Final answer
    x = 12,798

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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.