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Finding the Fourth Proportional to 23,785.63, 35,677.07 and 7,145.29

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Solution

The fourth proportional to 23,785.63, 35,677.07 and 7,145.29 is: 10,717.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,785.63 : 35,677.07 = 7,145.29 : x
  2. Step 2: Convert to fraction form
    23,785.63/35,677.07 = 7,145.29/x
  3. Step 3: Cross multiply
    23,785.63x = 35,677.07 × 7,145.29
  4. Step 4: Simplify right side
    23,785.63x = 254,923,011.50
  5. Step 5: Solve for x
    x = 254,923,011.50/23,785.63
  6. Step 6: Final answer
    x = 10,717.52

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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.