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Finding the Fourth Proportional to 22,302.64, 33,455.58 and 7,511.56

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Solution

The fourth proportional to 22,302.64, 33,455.58 and 7,511.56 is: 11,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.64 : 33,455.58 = 7,511.56 : x
  2. Step 2: Convert to fraction form
    22,302.64/33,455.58 = 7,511.56/x
  3. Step 3: Cross multiply
    22,302.64x = 33,455.58 × 7,511.56
  4. Step 4: Simplify right side
    22,302.64x = 251,303,596.50
  5. Step 5: Solve for x
    x = 251,303,596.50/22,302.64
  6. Step 6: Final answer
    x = 11,267.89

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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.