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Finding the Fourth Proportional to 24,797.76, 37,264.74 and 13,119.24

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Solution

The fourth proportional to 24,797.76, 37,264.74 and 13,119.24 is: 19,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,797.76 : 37,264.74 = 13,119.24 : x
  2. Step 2: Convert to fraction form
    24,797.76/37,264.74 = 13,119.24/x
  3. Step 3: Cross multiply
    24,797.76x = 37,264.74 × 13,119.24
  4. Step 4: Simplify right side
    24,797.76x = 488,885,067.60
  5. Step 5: Solve for x
    x = 488,885,067.60/24,797.76
  6. Step 6: Final answer
    x = 19,714.89

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1.5x scale

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.