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Finding the Fourth Proportional to 13,891.63, 19,170.44 and 7,604

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Solution

The fourth proportional to 13,891.63, 19,170.44 and 7,604 is: 10,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.63 : 19,170.44 = 7,604 : x
  2. Step 2: Convert to fraction form
    13,891.63/19,170.44 = 7,604/x
  3. Step 3: Cross multiply
    13,891.63x = 19,170.44 × 7,604
  4. Step 4: Simplify right side
    13,891.63x = 145,772,025.76
  5. Step 5: Solve for x
    x = 145,772,025.76/13,891.63
  6. Step 6: Final answer
    x = 10,493.51

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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.