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Finding the Fourth Proportional to 13,402.13, 18,494.95 and 7,814.21

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Solution

The fourth proportional to 13,402.13, 18,494.95 and 7,814.21 is: 10,783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.13 : 18,494.95 = 7,814.21 : x
  2. Step 2: Convert to fraction form
    13,402.13/18,494.95 = 7,814.21/x
  3. Step 3: Cross multiply
    13,402.13x = 18,494.95 × 7,814.21
  4. Step 4: Simplify right side
    13,402.13x = 144,523,311.23
  5. Step 5: Solve for x
    x = 144,523,311.23/13,402.13
  6. Step 6: Final answer
    x = 10,783.61

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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.