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Finding the Fourth Proportional to 15,941.64, 22,013.46 and 9,983.46

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Solution

The fourth proportional to 15,941.64, 22,013.46 and 9,983.46 is: 13,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,941.64 : 22,013.46 = 9,983.46 : x
  2. Step 2: Convert to fraction form
    15,941.64/22,013.46 = 9,983.46/x
  3. Step 3: Cross multiply
    15,941.64x = 22,013.46 × 9,983.46
  4. Step 4: Simplify right side
    15,941.64x = 219,770,497.37
  5. Step 5: Solve for x
    x = 219,770,497.37/15,941.64
  6. Step 6: Final answer
    x = 13,785.94

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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.