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Finding the Fourth Proportional to 12,807.09, 19,231.47 and 7,907.90

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Solution

The fourth proportional to 12,807.09, 19,231.47 and 7,907.90 is: 11,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.09 : 19,231.47 = 7,907.90 : x
  2. Step 2: Convert to fraction form
    12,807.09/19,231.47 = 7,907.90/x
  3. Step 3: Cross multiply
    12,807.09x = 19,231.47 × 7,907.90
  4. Step 4: Simplify right side
    12,807.09x = 152,080,445.46
  5. Step 5: Solve for x
    x = 152,080,445.46/12,807.09
  6. Step 6: Final answer
    x = 11,874.71

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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.