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Finding the Fourth Proportional to 23,787.07, 35,686.07 and 7,147.41

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Solution

The fourth proportional to 23,787.07, 35,686.07 and 7,147.41 is: 10,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,787.07 : 35,686.07 = 7,147.41 : x
  2. Step 2: Convert to fraction form
    23,787.07/35,686.07 = 7,147.41/x
  3. Step 3: Cross multiply
    23,787.07x = 35,686.07 × 7,147.41
  4. Step 4: Simplify right side
    23,787.07x = 255,062,830.82
  5. Step 5: Solve for x
    x = 255,062,830.82/23,787.07
  6. Step 6: Final answer
    x = 10,722.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.