Home / 23,424-35,135.28-6,784.44

Finding the Fourth Proportional to 23,424, 35,135.28 and 6,784.44

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Solution

The fourth proportional to 23,424, 35,135.28 and 6,784.44 is: 10,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,424 : 35,135.28 = 6,784.44 : x
  2. Step 2: Convert to fraction form
    23,424/35,135.28 = 6,784.44/x
  3. Step 3: Cross multiply
    23,424x = 35,135.28 × 6,784.44
  4. Step 4: Simplify right side
    23,424x = 238,373,199.04
  5. Step 5: Solve for x
    x = 238,373,199.04/23,424
  6. Step 6: Final answer
    x = 10,176.45

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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.