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Finding the Fourth Proportional to 12,732.70, 19,093.65 and 6,160.90

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Solution

The fourth proportional to 12,732.70, 19,093.65 and 6,160.90 is: 9,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.70 : 19,093.65 = 6,160.90 : x
  2. Step 2: Convert to fraction form
    12,732.70/19,093.65 = 6,160.90/x
  3. Step 3: Cross multiply
    12,732.70x = 19,093.65 × 6,160.90
  4. Step 4: Simplify right side
    12,732.70x = 117,634,068.29
  5. Step 5: Solve for x
    x = 117,634,068.29/12,732.70
  6. Step 6: Final answer
    x = 9,238.74

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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.