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Finding the Fourth Proportional to 14,137.20, 19,495.71 and 9,102.87

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Solution

The fourth proportional to 14,137.20, 19,495.71 and 9,102.87 is: 12,553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.20 : 19,495.71 = 9,102.87 : x
  2. Step 2: Convert to fraction form
    14,137.20/19,495.71 = 9,102.87/x
  3. Step 3: Cross multiply
    14,137.20x = 19,495.71 × 9,102.87
  4. Step 4: Simplify right side
    14,137.20x = 177,466,913.69
  5. Step 5: Solve for x
    x = 177,466,913.69/14,137.20
  6. Step 6: Final answer
    x = 12,553.19

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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.