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Finding the Fourth Proportional to 23,340.68, 35,011.04 and 7,758.32

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Solution

The fourth proportional to 23,340.68, 35,011.04 and 7,758.32 is: 11,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,340.68 : 35,011.04 = 7,758.32 : x
  2. Step 2: Convert to fraction form
    23,340.68/35,011.04 = 7,758.32/x
  3. Step 3: Cross multiply
    23,340.68x = 35,011.04 × 7,758.32
  4. Step 4: Simplify right side
    23,340.68x = 271,626,851.85
  5. Step 5: Solve for x
    x = 271,626,851.85/23,340.68
  6. Step 6: Final answer
    x = 11,637.49

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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.