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Finding the Fourth Proportional to 13,915.64, 19,203.74 and 8,172.71

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Solution

The fourth proportional to 13,915.64, 19,203.74 and 8,172.71 is: 11,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.64 : 19,203.74 = 8,172.71 : x
  2. Step 2: Convert to fraction form
    13,915.64/19,203.74 = 8,172.71/x
  3. Step 3: Cross multiply
    13,915.64x = 19,203.74 × 8,172.71
  4. Step 4: Simplify right side
    13,915.64x = 156,946,501.92
  5. Step 5: Solve for x
    x = 156,946,501.92/13,915.64
  6. Step 6: Final answer
    x = 11,278.43

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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.