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Finding the Fourth Proportional to 24,633.99, 36,956.43 and 9,849.87

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Solution

The fourth proportional to 24,633.99, 36,956.43 and 9,849.87 is: 14,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,633.99 : 36,956.43 = 9,849.87 : x
  2. Step 2: Convert to fraction form
    24,633.99/36,956.43 = 9,849.87/x
  3. Step 3: Cross multiply
    24,633.99x = 36,956.43 × 9,849.87
  4. Step 4: Simplify right side
    24,633.99x = 364,016,031.16
  5. Step 5: Solve for x
    x = 364,016,031.16/24,633.99
  6. Step 6: Final answer
    x = 14,776.98

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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.