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Finding the Fourth Proportional to 24,490.86, 36,738.72 and 9,709.98

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Solution

The fourth proportional to 24,490.86, 36,738.72 and 9,709.98 is: 14,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,490.86 : 36,738.72 = 9,709.98 : x
  2. Step 2: Convert to fraction form
    24,490.86/36,738.72 = 9,709.98/x
  3. Step 3: Cross multiply
    24,490.86x = 36,738.72 × 9,709.98
  4. Step 4: Simplify right side
    24,490.86x = 356,732,236.43
  5. Step 5: Solve for x
    x = 356,732,236.43/24,490.86
  6. Step 6: Final answer
    x = 14,565.93

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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.