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Finding the Fourth Proportional to 12,847.50, 17,732.41 and 7,810.66

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Solution

The fourth proportional to 12,847.50, 17,732.41 and 7,810.66 is: 10,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.50 : 17,732.41 = 7,810.66 : x
  2. Step 2: Convert to fraction form
    12,847.50/17,732.41 = 7,810.66/x
  3. Step 3: Cross multiply
    12,847.50x = 17,732.41 × 7,810.66
  4. Step 4: Simplify right side
    12,847.50x = 138,501,825.49
  5. Step 5: Solve for x
    x = 138,501,825.49/12,847.50
  6. Step 6: Final answer
    x = 10,780.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.