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Finding the Fourth Proportional to 14,091.12, 19,445.96 and 7,717.59

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Solution

The fourth proportional to 14,091.12, 19,445.96 and 7,717.59 is: 10,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.12 : 19,445.96 = 7,717.59 : x
  2. Step 2: Convert to fraction form
    14,091.12/19,445.96 = 7,717.59/x
  3. Step 3: Cross multiply
    14,091.12x = 19,445.96 × 7,717.59
  4. Step 4: Simplify right side
    14,091.12x = 150,075,810.62
  5. Step 5: Solve for x
    x = 150,075,810.62/14,091.12
  6. Step 6: Final answer
    x = 10,650.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.