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Finding the Fourth Proportional to 13,660.83, 18,851.76 and 7,692.57

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Solution

The fourth proportional to 13,660.83, 18,851.76 and 7,692.57 is: 10,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660.83 : 18,851.76 = 7,692.57 : x
  2. Step 2: Convert to fraction form
    13,660.83/18,851.76 = 7,692.57/x
  3. Step 3: Cross multiply
    13,660.83x = 18,851.76 × 7,692.57
  4. Step 4: Simplify right side
    13,660.83x = 145,018,483.42
  5. Step 5: Solve for x
    x = 145,018,483.42/13,660.83
  6. Step 6: Final answer
    x = 10,615.64

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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.