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Finding the Fourth Proportional to 22,576.37, 33,848.15 and 9,432.50

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Solution

The fourth proportional to 22,576.37, 33,848.15 and 9,432.50 is: 14,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.37 : 33,848.15 = 9,432.50 : x
  2. Step 2: Convert to fraction form
    22,576.37/33,848.15 = 9,432.50/x
  3. Step 3: Cross multiply
    22,576.37x = 33,848.15 × 9,432.50
  4. Step 4: Simplify right side
    22,576.37x = 319,272,458.47
  5. Step 5: Solve for x
    x = 319,272,458.47/22,576.37
  6. Step 6: Final answer
    x = 14,141.89

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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.