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Finding the Fourth Proportional to 23,781.64, 35,672.46 and 11,461

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Solution

The fourth proportional to 23,781.64, 35,672.46 and 11,461 is: 17,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,781.64 : 35,672.46 = 11,461 : x
  2. Step 2: Convert to fraction form
    23,781.64/35,672.46 = 11,461/x
  3. Step 3: Cross multiply
    23,781.64x = 35,672.46 × 11,461
  4. Step 4: Simplify right side
    23,781.64x = 408,842,064.06
  5. Step 5: Solve for x
    x = 408,842,064.06/23,781.64
  6. Step 6: Final answer
    x = 17,191.50

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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.