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Finding the Fourth Proportional to 17,706.70, 26,564.51 and 5,226.22

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Solution

The fourth proportional to 17,706.70, 26,564.51 and 5,226.22 is: 7,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.70 : 26,564.51 = 5,226.22 : x
  2. Step 2: Convert to fraction form
    17,706.70/26,564.51 = 5,226.22/x
  3. Step 3: Cross multiply
    17,706.70x = 26,564.51 × 5,226.22
  4. Step 4: Simplify right side
    17,706.70x = 138,831,973.45
  5. Step 5: Solve for x
    x = 138,831,973.45/17,706.70
  6. Step 6: Final answer
    x = 7,840.65

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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.