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Finding the Fourth Proportional to 19,023.50, 28,548.21 and 6,711.50

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Solution

The fourth proportional to 19,023.50, 28,548.21 and 6,711.50 is: 10,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,023.50 : 28,548.21 = 6,711.50 : x
  2. Step 2: Convert to fraction form
    19,023.50/28,548.21 = 6,711.50/x
  3. Step 3: Cross multiply
    19,023.50x = 28,548.21 × 6,711.50
  4. Step 4: Simplify right side
    19,023.50x = 191,601,311.42
  5. Step 5: Solve for x
    x = 191,601,311.42/19,023.50
  6. Step 6: Final answer
    x = 10,071.82

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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.