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Finding the Fourth Proportional to 22,337.95, 33,494.16 and 9,179.50

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Solution

The fourth proportional to 22,337.95, 33,494.16 and 9,179.50 is: 13,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,337.95 : 33,494.16 = 9,179.50 : x
  2. Step 2: Convert to fraction form
    22,337.95/33,494.16 = 9,179.50/x
  3. Step 3: Cross multiply
    22,337.95x = 33,494.16 × 9,179.50
  4. Step 4: Simplify right side
    22,337.95x = 307,459,641.72
  5. Step 5: Solve for x
    x = 307,459,641.72/22,337.95
  6. Step 6: Final answer
    x = 13,764.00

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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.