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Finding the Fourth Proportional to 23,534, 32,475.30 and 12,921.44

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Solution

The fourth proportional to 23,534, 32,475.30 and 12,921.44 is: 17,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534 : 32,475.30 = 12,921.44 : x
  2. Step 2: Convert to fraction form
    23,534/32,475.30 = 12,921.44/x
  3. Step 3: Cross multiply
    23,534x = 32,475.30 × 12,921.44
  4. Step 4: Simplify right side
    23,534x = 419,627,640.43
  5. Step 5: Solve for x
    x = 419,627,640.43/23,534
  6. Step 6: Final answer
    x = 17,830.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.