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Finding the Fourth Proportional to 24,759.43, 37,142.44 and 7,229

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Solution

The fourth proportional to 24,759.43, 37,142.44 and 7,229 is: 10,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,759.43 : 37,142.44 = 7,229 : x
  2. Step 2: Convert to fraction form
    24,759.43/37,142.44 = 7,229/x
  3. Step 3: Cross multiply
    24,759.43x = 37,142.44 × 7,229
  4. Step 4: Simplify right side
    24,759.43x = 268,502,698.76
  5. Step 5: Solve for x
    x = 268,502,698.76/24,759.43
  6. Step 6: Final answer
    x = 10,844.46

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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.