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Finding the Fourth Proportional to 13,665.40, 20,498.10 and 8,999.80

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Solution

The fourth proportional to 13,665.40, 20,498.10 and 8,999.80 is: 13,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.40 : 20,498.10 = 8,999.80 : x
  2. Step 2: Convert to fraction form
    13,665.40/20,498.10 = 8,999.80/x
  3. Step 3: Cross multiply
    13,665.40x = 20,498.10 × 8,999.80
  4. Step 4: Simplify right side
    13,665.40x = 184,478,800.38
  5. Step 5: Solve for x
    x = 184,478,800.38/13,665.40
  6. Step 6: Final answer
    x = 13,499.70

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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.