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Finding the Fourth Proportional to 17,719.32, 26,563.89 and 7,853.22

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Solution

The fourth proportional to 17,719.32, 26,563.89 and 7,853.22 is: 11,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,719.32 : 26,563.89 = 7,853.22 : x
  2. Step 2: Convert to fraction form
    17,719.32/26,563.89 = 7,853.22/x
  3. Step 3: Cross multiply
    17,719.32x = 26,563.89 × 7,853.22
  4. Step 4: Simplify right side
    17,719.32x = 208,612,072.23
  5. Step 5: Solve for x
    x = 208,612,072.23/17,719.32
  6. Step 6: Final answer
    x = 11,773.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.