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Finding the Fourth Proportional to 22,566.32, 33,854.88 and 6,983.94

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Solution

The fourth proportional to 22,566.32, 33,854.88 and 6,983.94 is: 10,477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,566.32 : 33,854.88 = 6,983.94 : x
  2. Step 2: Convert to fraction form
    22,566.32/33,854.88 = 6,983.94/x
  3. Step 3: Cross multiply
    22,566.32x = 33,854.88 × 6,983.94
  4. Step 4: Simplify right side
    22,566.32x = 236,440,450.63
  5. Step 5: Solve for x
    x = 236,440,450.63/22,566.32
  6. Step 6: Final answer
    x = 10,477.58

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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.