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Finding the Fourth Proportional to 17,054.51, 23,533.39 and 9,499.38

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Solution

The fourth proportional to 17,054.51, 23,533.39 and 9,499.38 is: 13,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,054.51 : 23,533.39 = 9,499.38 : x
  2. Step 2: Convert to fraction form
    17,054.51/23,533.39 = 9,499.38/x
  3. Step 3: Cross multiply
    17,054.51x = 23,533.39 × 9,499.38
  4. Step 4: Simplify right side
    17,054.51x = 223,552,577.54
  5. Step 5: Solve for x
    x = 223,552,577.54/17,054.51
  6. Step 6: Final answer
    x = 13,108.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.