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Finding the Fourth Proportional to 14,503.85, 21,712.69 and 7,910.04

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Solution

The fourth proportional to 14,503.85, 21,712.69 and 7,910.04 is: 11,841.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,503.85 : 21,712.69 = 7,910.04 : x
  2. Step 2: Convert to fraction form
    14,503.85/21,712.69 = 7,910.04/x
  3. Step 3: Cross multiply
    14,503.85x = 21,712.69 × 7,910.04
  4. Step 4: Simplify right side
    14,503.85x = 171,748,337.72
  5. Step 5: Solve for x
    x = 171,748,337.72/14,503.85
  6. Step 6: Final answer
    x = 11,841.57

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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.