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Finding the Fourth Proportional to 14,720.80, 22,042.32 and 7,780.72

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Solution

The fourth proportional to 14,720.80, 22,042.32 and 7,780.72 is: 11,650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,720.80 : 22,042.32 = 7,780.72 : x
  2. Step 2: Convert to fraction form
    14,720.80/22,042.32 = 7,780.72/x
  3. Step 3: Cross multiply
    14,720.80x = 22,042.32 × 7,780.72
  4. Step 4: Simplify right side
    14,720.80x = 171,505,120.07
  5. Step 5: Solve for x
    x = 171,505,120.07/14,720.80
  6. Step 6: Final answer
    x = 11,650.53

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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.