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Finding the Fourth Proportional to 23,274, 32,117.85 and 12,663.45

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Solution

The fourth proportional to 23,274, 32,117.85 and 12,663.45 is: 17,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,274 : 32,117.85 = 12,663.45 : x
  2. Step 2: Convert to fraction form
    23,274/32,117.85 = 12,663.45/x
  3. Step 3: Cross multiply
    23,274x = 32,117.85 × 12,663.45
  4. Step 4: Simplify right side
    23,274x = 406,722,787.58
  5. Step 5: Solve for x
    x = 406,722,787.58/23,274
  6. Step 6: Final answer
    x = 17,475.41

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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.