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Finding the Fourth Proportional to 27,380.66, 41,075.04 and 8,656.46

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Solution

The fourth proportional to 27,380.66, 41,075.04 and 8,656.46 is: 12,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,380.66 : 41,075.04 = 8,656.46 : x
  2. Step 2: Convert to fraction form
    27,380.66/41,075.04 = 8,656.46/x
  3. Step 3: Cross multiply
    27,380.66x = 41,075.04 × 8,656.46
  4. Step 4: Simplify right side
    27,380.66x = 355,564,235.38
  5. Step 5: Solve for x
    x = 355,564,235.38/27,380.66
  6. Step 6: Final answer
    x = 12,985.96

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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.