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Finding the Fourth Proportional to 13,365.24, 20,047.77 and 10,446

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Solution

The fourth proportional to 13,365.24, 20,047.77 and 10,446 is: 15,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,365.24 : 20,047.77 = 10,446 : x
  2. Step 2: Convert to fraction form
    13,365.24/20,047.77 = 10,446/x
  3. Step 3: Cross multiply
    13,365.24x = 20,047.77 × 10,446
  4. Step 4: Simplify right side
    13,365.24x = 209,419,005.42
  5. Step 5: Solve for x
    x = 209,419,005.42/13,365.24
  6. Step 6: Final answer
    x = 15,668.93

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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.