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Finding the Fourth Proportional to 14,137.85, 19,512.64 and 8,172.98

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Solution

The fourth proportional to 14,137.85, 19,512.64 and 8,172.98 is: 11,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.85 : 19,512.64 = 8,172.98 : x
  2. Step 2: Convert to fraction form
    14,137.85/19,512.64 = 8,172.98/x
  3. Step 3: Cross multiply
    14,137.85x = 19,512.64 × 8,172.98
  4. Step 4: Simplify right side
    14,137.85x = 159,476,423.55
  5. Step 5: Solve for x
    x = 159,476,423.55/14,137.85
  6. Step 6: Final answer
    x = 11,280.10

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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.