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Finding the Fourth Proportional to 13,547.98, 20,308.02 and 7,692.22

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Solution

The fourth proportional to 13,547.98, 20,308.02 and 7,692.22 is: 11,530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.98 : 20,308.02 = 7,692.22 : x
  2. Step 2: Convert to fraction form
    13,547.98/20,308.02 = 7,692.22/x
  3. Step 3: Cross multiply
    13,547.98x = 20,308.02 × 7,692.22
  4. Step 4: Simplify right side
    13,547.98x = 156,213,757.60
  5. Step 5: Solve for x
    x = 156,213,757.60/13,547.98
  6. Step 6: Final answer
    x = 11,530.41

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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.