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Finding the Fourth Proportional to 13,126.16, 18,105.96 and 7,817.84

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Solution

The fourth proportional to 13,126.16, 18,105.96 and 7,817.84 is: 10,783.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,126.16 : 18,105.96 = 7,817.84 : x
  2. Step 2: Convert to fraction form
    13,126.16/18,105.96 = 7,817.84/x
  3. Step 3: Cross multiply
    13,126.16x = 18,105.96 × 7,817.84
  4. Step 4: Simplify right side
    13,126.16x = 141,549,498.33
  5. Step 5: Solve for x
    x = 141,549,498.33/13,126.16
  6. Step 6: Final answer
    x = 10,783.77

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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.