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Finding the Fourth Proportional to 17,352.56, 26,005.93 and 7,857.81

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Solution

The fourth proportional to 17,352.56, 26,005.93 and 7,857.81 is: 11,776.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,352.56 : 26,005.93 = 7,857.81 : x
  2. Step 2: Convert to fraction form
    17,352.56/26,005.93 = 7,857.81/x
  3. Step 3: Cross multiply
    17,352.56x = 26,005.93 × 7,857.81
  4. Step 4: Simplify right side
    17,352.56x = 204,349,637.17
  5. Step 5: Solve for x
    x = 204,349,637.17/17,352.56
  6. Step 6: Final answer
    x = 11,776.34

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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.