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Finding the Fourth Proportional to 12,837.84, 17,706.74 and 8,117.57

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Solution

The fourth proportional to 12,837.84, 17,706.74 and 8,117.57 is: 11,196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.84 : 17,706.74 = 8,117.57 : x
  2. Step 2: Convert to fraction form
    12,837.84/17,706.74 = 8,117.57/x
  3. Step 3: Cross multiply
    12,837.84x = 17,706.74 × 8,117.57
  4. Step 4: Simplify right side
    12,837.84x = 143,735,612.89
  5. Step 5: Solve for x
    x = 143,735,612.89/12,837.84
  6. Step 6: Final answer
    x = 11,196.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.