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Finding the Fourth Proportional to 23,533, 32,476.38 and 12,922.52

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Solution

The fourth proportional to 23,533, 32,476.38 and 12,922.52 is: 17,833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533 : 32,476.38 = 12,922.52 : x
  2. Step 2: Convert to fraction form
    23,533/32,476.38 = 12,922.52/x
  3. Step 3: Cross multiply
    23,533x = 32,476.38 × 12,922.52
  4. Step 4: Simplify right side
    23,533x = 419,676,670.08
  5. Step 5: Solve for x
    x = 419,676,670.08/23,533
  6. Step 6: Final answer
    x = 17,833.54

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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.