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Finding the Fourth Proportional to 15,840.97, 21,840.69 and 10,165.70

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Solution

The fourth proportional to 15,840.97, 21,840.69 and 10,165.70 is: 14,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840.97 : 21,840.69 = 10,165.70 : x
  2. Step 2: Convert to fraction form
    15,840.97/21,840.69 = 10,165.70/x
  3. Step 3: Cross multiply
    15,840.97x = 21,840.69 × 10,165.70
  4. Step 4: Simplify right side
    15,840.97x = 222,025,937.87
  5. Step 5: Solve for x
    x = 222,025,937.87/15,840.97
  6. Step 6: Final answer
    x = 14,015.93

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