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Finding the Fourth Proportional to 22,539, 33,809.14 and 6,123

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Solution

The fourth proportional to 22,539, 33,809.14 and 6,123 is: 9,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,539 : 33,809.14 = 6,123 : x
  2. Step 2: Convert to fraction form
    22,539/33,809.14 = 6,123/x
  3. Step 3: Cross multiply
    22,539x = 33,809.14 × 6,123
  4. Step 4: Simplify right side
    22,539x = 207,013,364.22
  5. Step 5: Solve for x
    x = 207,013,364.22/22,539
  6. Step 6: Final answer
    x = 9,184.67

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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.