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Finding the Fourth Proportional to 24,711.15, 37,069 and 8,071.27

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Solution

The fourth proportional to 24,711.15, 37,069 and 8,071.27 is: 12,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711.15 : 37,069 = 8,071.27 : x
  2. Step 2: Convert to fraction form
    24,711.15/37,069 = 8,071.27/x
  3. Step 3: Cross multiply
    24,711.15x = 37,069 × 8,071.27
  4. Step 4: Simplify right side
    24,711.15x = 299,193,907.63
  5. Step 5: Solve for x
    x = 299,193,907.63/24,711.15
  6. Step 6: Final answer
    x = 12,107.65

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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.