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Finding the Fourth Proportional to 22,706.34, 34,062.48 and 7,503.86

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Solution

The fourth proportional to 22,706.34, 34,062.48 and 7,503.86 is: 11,256.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.34 : 34,062.48 = 7,503.86 : x
  2. Step 2: Convert to fraction form
    22,706.34/34,062.48 = 7,503.86/x
  3. Step 3: Cross multiply
    22,706.34x = 34,062.48 × 7,503.86
  4. Step 4: Simplify right side
    22,706.34x = 255,599,910.86
  5. Step 5: Solve for x
    x = 255,599,910.86/22,706.34
  6. Step 6: Final answer
    x = 11,256.76

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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.