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Finding the Fourth Proportional to 19,503.27, 29,254.86 and 7,824.69

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Solution

The fourth proportional to 19,503.27, 29,254.86 and 7,824.69 is: 11,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,503.27 : 29,254.86 = 7,824.69 : x
  2. Step 2: Convert to fraction form
    19,503.27/29,254.86 = 7,824.69/x
  3. Step 3: Cross multiply
    19,503.27x = 29,254.86 × 7,824.69
  4. Step 4: Simplify right side
    19,503.27x = 228,910,210.49
  5. Step 5: Solve for x
    x = 228,910,210.49/19,503.27
  6. Step 6: Final answer
    x = 11,737.02

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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.