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Finding the Fourth Proportional to 14,587.76, 20,129.08 and 8,299.44

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Solution

The fourth proportional to 14,587.76, 20,129.08 and 8,299.44 is: 11,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,587.76 : 20,129.08 = 8,299.44 : x
  2. Step 2: Convert to fraction form
    14,587.76/20,129.08 = 8,299.44/x
  3. Step 3: Cross multiply
    14,587.76x = 20,129.08 × 8,299.44
  4. Step 4: Simplify right side
    14,587.76x = 167,060,091.72
  5. Step 5: Solve for x
    x = 167,060,091.72/14,587.76
  6. Step 6: Final answer
    x = 11,452.07

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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.