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Finding the Fourth Proportional to 12,137.70, 18,191.96 and 5,115

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Solution

The fourth proportional to 12,137.70, 18,191.96 and 5,115 is: 7,666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.70 : 18,191.96 = 5,115 : x
  2. Step 2: Convert to fraction form
    12,137.70/18,191.96 = 5,115/x
  3. Step 3: Cross multiply
    12,137.70x = 18,191.96 × 5,115
  4. Step 4: Simplify right side
    12,137.70x = 93,051,875.40
  5. Step 5: Solve for x
    x = 93,051,875.40/12,137.70
  6. Step 6: Final answer
    x = 7,666.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.