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Finding the Fourth Proportional to 24,857.88, 37,212.78 and 16,509

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Solution

The fourth proportional to 24,857.88, 37,212.78 and 16,509 is: 24,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857.88 : 37,212.78 = 16,509 : x
  2. Step 2: Convert to fraction form
    24,857.88/37,212.78 = 16,509/x
  3. Step 3: Cross multiply
    24,857.88x = 37,212.78 × 16,509
  4. Step 4: Simplify right side
    24,857.88x = 614,345,785.02
  5. Step 5: Solve for x
    x = 614,345,785.02/24,857.88
  6. Step 6: Final answer
    x = 24,714.33

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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.