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Finding the Fourth Proportional to 13,501.78, 18,629.47 and 7,833.24

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Solution

The fourth proportional to 13,501.78, 18,629.47 and 7,833.24 is: 10,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.78 : 18,629.47 = 7,833.24 : x
  2. Step 2: Convert to fraction form
    13,501.78/18,629.47 = 7,833.24/x
  3. Step 3: Cross multiply
    13,501.78x = 18,629.47 × 7,833.24
  4. Step 4: Simplify right side
    13,501.78x = 145,929,090.00
  5. Step 5: Solve for x
    x = 145,929,090.00/13,501.78
  6. Step 6: Final answer
    x = 10,808.14

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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.