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Finding the Fourth Proportional to 13,574.23, 18,729.77 and 8,535.53

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Solution

The fourth proportional to 13,574.23, 18,729.77 and 8,535.53 is: 11,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.23 : 18,729.77 = 8,535.53 : x
  2. Step 2: Convert to fraction form
    13,574.23/18,729.77 = 8,535.53/x
  3. Step 3: Cross multiply
    13,574.23x = 18,729.77 × 8,535.53
  4. Step 4: Simplify right side
    13,574.23x = 159,868,412.52
  5. Step 5: Solve for x
    x = 159,868,412.52/13,574.23
  6. Step 6: Final answer
    x = 11,777.34

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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.