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Finding the Fourth Proportional to 23,887, 35,830.66 and 7,471

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Solution

The fourth proportional to 23,887, 35,830.66 and 7,471 is: 11,206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,887 : 35,830.66 = 7,471 : x
  2. Step 2: Convert to fraction form
    23,887/35,830.66 = 7,471/x
  3. Step 3: Cross multiply
    23,887x = 35,830.66 × 7,471
  4. Step 4: Simplify right side
    23,887x = 267,690,860.86
  5. Step 5: Solve for x
    x = 267,690,860.86/23,887
  6. Step 6: Final answer
    x = 11,206.55

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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.