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Finding the Fourth Proportional to 16,803.74, 23,198.46 and 10,091

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Solution

The fourth proportional to 16,803.74, 23,198.46 and 10,091 is: 13,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,803.74 : 23,198.46 = 10,091 : x
  2. Step 2: Convert to fraction form
    16,803.74/23,198.46 = 10,091/x
  3. Step 3: Cross multiply
    16,803.74x = 23,198.46 × 10,091
  4. Step 4: Simplify right side
    16,803.74x = 234,095,659.86
  5. Step 5: Solve for x
    x = 234,095,659.86/16,803.74
  6. Step 6: Final answer
    x = 13,931.16

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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.