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Finding the Fourth Proportional to 22,562.64, 33,848.28 and 6,977.52

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Solution

The fourth proportional to 22,562.64, 33,848.28 and 6,977.52 is: 10,467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,562.64 : 33,848.28 = 6,977.52 : x
  2. Step 2: Convert to fraction form
    22,562.64/33,848.28 = 6,977.52/x
  3. Step 3: Cross multiply
    22,562.64x = 33,848.28 × 6,977.52
  4. Step 4: Simplify right side
    22,562.64x = 236,177,050.67
  5. Step 5: Solve for x
    x = 236,177,050.67/22,562.64
  6. Step 6: Final answer
    x = 10,467.62

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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.