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Finding the Fourth Proportional to 13,706.63, 18,915.50 and 8,404.37

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Solution

The fourth proportional to 13,706.63, 18,915.50 and 8,404.37 is: 11,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.63 : 18,915.50 = 8,404.37 : x
  2. Step 2: Convert to fraction form
    13,706.63/18,915.50 = 8,404.37/x
  3. Step 3: Cross multiply
    13,706.63x = 18,915.50 × 8,404.37
  4. Step 4: Simplify right side
    13,706.63x = 158,972,860.74
  5. Step 5: Solve for x
    x = 158,972,860.74/13,706.63
  6. Step 6: Final answer
    x = 11,598.25

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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.