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Finding the Fourth Proportional to 17,706.22, 26,549.51 and 8,208.16

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Solution

The fourth proportional to 17,706.22, 26,549.51 and 8,208.16 is: 12,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.22 : 26,549.51 = 8,208.16 : x
  2. Step 2: Convert to fraction form
    17,706.22/26,549.51 = 8,208.16/x
  3. Step 3: Cross multiply
    17,706.22x = 26,549.51 × 8,208.16
  4. Step 4: Simplify right side
    17,706.22x = 217,922,518.59
  5. Step 5: Solve for x
    x = 217,922,518.59/17,706.22
  6. Step 6: Final answer
    x = 12,307.68

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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.