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Finding the Fourth Proportional to 21,951.87, 32,926.65 and 6,158.00

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Solution

The fourth proportional to 21,951.87, 32,926.65 and 6,158.00 is: 9,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,951.87 : 32,926.65 = 6,158.00 : x
  2. Step 2: Convert to fraction form
    21,951.87/32,926.65 = 6,158.00/x
  3. Step 3: Cross multiply
    21,951.87x = 32,926.65 × 6,158.00
  4. Step 4: Simplify right side
    21,951.87x = 202,762,115.28
  5. Step 5: Solve for x
    x = 202,762,115.28/21,951.87
  6. Step 6: Final answer
    x = 9,236.67

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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.