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Finding the Fourth Proportional to 17,219.64, 23,764.01 and 9,665.58

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Solution

The fourth proportional to 17,219.64, 23,764.01 and 9,665.58 is: 13,339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,219.64 : 23,764.01 = 9,665.58 : x
  2. Step 2: Convert to fraction form
    17,219.64/23,764.01 = 9,665.58/x
  3. Step 3: Cross multiply
    17,219.64x = 23,764.01 × 9,665.58
  4. Step 4: Simplify right side
    17,219.64x = 229,692,874.07
  5. Step 5: Solve for x
    x = 229,692,874.07/17,219.64
  6. Step 6: Final answer
    x = 13,339.01

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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.