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Finding the Fourth Proportional to 12,281.09, 18,405.18 and 5,692.75

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Solution

The fourth proportional to 12,281.09, 18,405.18 and 5,692.75 is: 8,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.09 : 18,405.18 = 5,692.75 : x
  2. Step 2: Convert to fraction form
    12,281.09/18,405.18 = 5,692.75/x
  3. Step 3: Cross multiply
    12,281.09x = 18,405.18 × 5,692.75
  4. Step 4: Simplify right side
    12,281.09x = 104,776,042.43
  5. Step 5: Solve for x
    x = 104,776,042.43/12,281.09
  6. Step 6: Final answer
    x = 8,531.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.