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Finding the Fourth Proportional to 35,338.93, 53,016.23 and 11,653.82

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Solution

The fourth proportional to 35,338.93, 53,016.23 and 11,653.82 is: 17,483.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,338.93 : 53,016.23 = 11,653.82 : x
  2. Step 2: Convert to fraction form
    35,338.93/53,016.23 = 11,653.82/x
  3. Step 3: Cross multiply
    35,338.93x = 53,016.23 × 11,653.82
  4. Step 4: Simplify right side
    35,338.93x = 617,841,365.55
  5. Step 5: Solve for x
    x = 617,841,365.55/35,338.93
  6. Step 6: Final answer
    x = 17,483.31

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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.