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Finding the Fourth Proportional to 24,786.42, 37,185.12 and 11,638.98

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Solution

The fourth proportional to 24,786.42, 37,185.12 and 11,638.98 is: 17,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786.42 : 37,185.12 = 11,638.98 : x
  2. Step 2: Convert to fraction form
    24,786.42/37,185.12 = 11,638.98/x
  3. Step 3: Cross multiply
    24,786.42x = 37,185.12 × 11,638.98
  4. Step 4: Simplify right side
    24,786.42x = 432,796,867.98
  5. Step 5: Solve for x
    x = 432,796,867.98/24,786.42
  6. Step 6: Final answer
    x = 17,461.05

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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.