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Finding the Fourth Proportional to 23,432.94, 32,338 and 12,822.58

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Solution

The fourth proportional to 23,432.94, 32,338 and 12,822.58 is: 17,695.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,432.94 : 32,338 = 12,822.58 : x
  2. Step 2: Convert to fraction form
    23,432.94/32,338 = 12,822.58/x
  3. Step 3: Cross multiply
    23,432.94x = 32,338 × 12,822.58
  4. Step 4: Simplify right side
    23,432.94x = 414,656,592.04
  5. Step 5: Solve for x
    x = 414,656,592.04/23,432.94
  6. Step 6: Final answer
    x = 17,695.46

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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.