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Finding the Fourth Proportional to 12,675.80, 19,013.70 and 6,107.51

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Solution

The fourth proportional to 12,675.80, 19,013.70 and 6,107.51 is: 9,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.80 : 19,013.70 = 6,107.51 : x
  2. Step 2: Convert to fraction form
    12,675.80/19,013.70 = 6,107.51/x
  3. Step 3: Cross multiply
    12,675.80x = 19,013.70 × 6,107.51
  4. Step 4: Simplify right side
    12,675.80x = 116,126,362.89
  5. Step 5: Solve for x
    x = 116,126,362.89/12,675.80
  6. Step 6: Final answer
    x = 9,161.27

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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.