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Finding the Fourth Proportional to 12,731.70, 19,113.15 and 8,051.70

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Solution

The fourth proportional to 12,731.70, 19,113.15 and 8,051.70 is: 12,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731.70 : 19,113.15 = 8,051.70 : x
  2. Step 2: Convert to fraction form
    12,731.70/19,113.15 = 8,051.70/x
  3. Step 3: Cross multiply
    12,731.70x = 19,113.15 × 8,051.70
  4. Step 4: Simplify right side
    12,731.70x = 153,893,349.86
  5. Step 5: Solve for x
    x = 153,893,349.86/12,731.70
  6. Step 6: Final answer
    x = 12,087.42

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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.