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Finding the Fourth Proportional to 17,538.64, 26,309.67 and 7,006.17

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Solution

The fourth proportional to 17,538.64, 26,309.67 and 7,006.17 is: 10,509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.64 : 26,309.67 = 7,006.17 : x
  2. Step 2: Convert to fraction form
    17,538.64/26,309.67 = 7,006.17/x
  3. Step 3: Cross multiply
    17,538.64x = 26,309.67 × 7,006.17
  4. Step 4: Simplify right side
    17,538.64x = 184,330,020.66
  5. Step 5: Solve for x
    x = 184,330,020.66/17,538.64
  6. Step 6: Final answer
    x = 10,509.94

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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.