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Finding the Fourth Proportional to 13,840.17, 19,100.46 and 7,873.76

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Solution

The fourth proportional to 13,840.17, 19,100.46 and 7,873.76 is: 10,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.17 : 19,100.46 = 7,873.76 : x
  2. Step 2: Convert to fraction form
    13,840.17/19,100.46 = 7,873.76/x
  3. Step 3: Cross multiply
    13,840.17x = 19,100.46 × 7,873.76
  4. Step 4: Simplify right side
    13,840.17x = 150,392,515.21
  5. Step 5: Solve for x
    x = 150,392,515.21/13,840.17
  6. Step 6: Final answer
    x = 10,866.38

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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.