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Finding the Fourth Proportional to 17,338.37, 23,927.33 and 9,577.16

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Solution

The fourth proportional to 17,338.37, 23,927.33 and 9,577.16 is: 13,216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,338.37 : 23,927.33 = 9,577.16 : x
  2. Step 2: Convert to fraction form
    17,338.37/23,927.33 = 9,577.16/x
  3. Step 3: Cross multiply
    17,338.37x = 23,927.33 × 9,577.16
  4. Step 4: Simplify right side
    17,338.37x = 229,155,867.78
  5. Step 5: Solve for x
    x = 229,155,867.78/17,338.37
  6. Step 6: Final answer
    x = 13,216.69

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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.