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Finding the Fourth Proportional to 13,895.50, 20,851.76 and 5,574.64

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Solution

The fourth proportional to 13,895.50, 20,851.76 and 5,574.64 is: 8,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,895.50 : 20,851.76 = 5,574.64 : x
  2. Step 2: Convert to fraction form
    13,895.50/20,851.76 = 5,574.64/x
  3. Step 3: Cross multiply
    13,895.50x = 20,851.76 × 5,574.64
  4. Step 4: Simplify right side
    13,895.50x = 116,241,055.37
  5. Step 5: Solve for x
    x = 116,241,055.37/13,895.50
  6. Step 6: Final answer
    x = 8,365.37

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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.