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Finding the Fourth Proportional to 16,460.64, 22,717.41 and 10,091.50

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Solution

The fourth proportional to 16,460.64, 22,717.41 and 10,091.50 is: 13,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,460.64 : 22,717.41 = 10,091.50 : x
  2. Step 2: Convert to fraction form
    16,460.64/22,717.41 = 10,091.50/x
  3. Step 3: Cross multiply
    16,460.64x = 22,717.41 × 10,091.50
  4. Step 4: Simplify right side
    16,460.64x = 229,252,743.02
  5. Step 5: Solve for x
    x = 229,252,743.02/16,460.64
  6. Step 6: Final answer
    x = 13,927.33

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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.