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Finding the Fourth Proportional to 13,840.62, 19,097.13 and 8,803

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Solution

The fourth proportional to 13,840.62, 19,097.13 and 8,803 is: 12,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.62 : 19,097.13 = 8,803 : x
  2. Step 2: Convert to fraction form
    13,840.62/19,097.13 = 8,803/x
  3. Step 3: Cross multiply
    13,840.62x = 19,097.13 × 8,803
  4. Step 4: Simplify right side
    13,840.62x = 168,112,035.39
  5. Step 5: Solve for x
    x = 168,112,035.39/13,840.62
  6. Step 6: Final answer
    x = 12,146.28

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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.