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Finding the Fourth Proportional to 12,537.66, 18,796.13 and 9,776.57

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Solution

The fourth proportional to 12,537.66, 18,796.13 and 9,776.57 is: 14,656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.66 : 18,796.13 = 9,776.57 : x
  2. Step 2: Convert to fraction form
    12,537.66/18,796.13 = 9,776.57/x
  3. Step 3: Cross multiply
    12,537.66x = 18,796.13 × 9,776.57
  4. Step 4: Simplify right side
    12,537.66x = 183,761,705.57
  5. Step 5: Solve for x
    x = 183,761,705.57/12,537.66
  6. Step 6: Final answer
    x = 14,656.78

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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.