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Finding the Fourth Proportional to 14,766.56, 20,369.88 and 9,102.54

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Solution

The fourth proportional to 14,766.56, 20,369.88 and 9,102.54 is: 12,556.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,766.56 : 20,369.88 = 9,102.54 : x
  2. Step 2: Convert to fraction form
    14,766.56/20,369.88 = 9,102.54/x
  3. Step 3: Cross multiply
    14,766.56x = 20,369.88 × 9,102.54
  4. Step 4: Simplify right side
    14,766.56x = 185,417,647.50
  5. Step 5: Solve for x
    x = 185,417,647.50/14,766.56
  6. Step 6: Final answer
    x = 12,556.59

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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.