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Finding the Fourth Proportional to 22,521.86, 33,785.15 and 7,731.98

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Solution

The fourth proportional to 22,521.86, 33,785.15 and 7,731.98 is: 11,598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,521.86 : 33,785.15 = 7,731.98 : x
  2. Step 2: Convert to fraction form
    22,521.86/33,785.15 = 7,731.98/x
  3. Step 3: Cross multiply
    22,521.86x = 33,785.15 × 7,731.98
  4. Step 4: Simplify right side
    22,521.86x = 261,225,896.51
  5. Step 5: Solve for x
    x = 261,225,896.51/22,521.86
  6. Step 6: Final answer
    x = 11,598.77

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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.