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Finding the Fourth Proportional to 17,564.13, 26,342.01 and 6,464.84

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Solution

The fourth proportional to 17,564.13, 26,342.01 and 6,464.84 is: 9,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.13 : 26,342.01 = 6,464.84 : x
  2. Step 2: Convert to fraction form
    17,564.13/26,342.01 = 6,464.84/x
  3. Step 3: Cross multiply
    17,564.13x = 26,342.01 × 6,464.84
  4. Step 4: Simplify right side
    17,564.13x = 170,296,748.22
  5. Step 5: Solve for x
    x = 170,296,748.22/17,564.13
  6. Step 6: Final answer
    x = 9,695.71

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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.