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Finding the Fourth Proportional to 13,499.81, 18,655.47 and 9,735.33

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Solution

The fourth proportional to 13,499.81, 18,655.47 and 9,735.33 is: 13,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,499.81 : 18,655.47 = 9,735.33 : x
  2. Step 2: Convert to fraction form
    13,499.81/18,655.47 = 9,735.33/x
  3. Step 3: Cross multiply
    13,499.81x = 18,655.47 × 9,735.33
  4. Step 4: Simplify right side
    13,499.81x = 181,617,156.76
  5. Step 5: Solve for x
    x = 181,617,156.76/13,499.81
  6. Step 6: Final answer
    x = 13,453.31

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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.