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Finding the Fourth Proportional to 13,187.90, 18,191.58 and 7,808.48

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Solution

The fourth proportional to 13,187.90, 18,191.58 and 7,808.48 is: 10,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.90 : 18,191.58 = 7,808.48 : x
  2. Step 2: Convert to fraction form
    13,187.90/18,191.58 = 7,808.48/x
  3. Step 3: Cross multiply
    13,187.90x = 18,191.58 × 7,808.48
  4. Step 4: Simplify right side
    13,187.90x = 142,048,588.60
  5. Step 5: Solve for x
    x = 142,048,588.60/13,187.90
  6. Step 6: Final answer
    x = 10,771.13

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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.