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Finding the Fourth Proportional to 17,017.16, 23,483.93 and 9,464.31

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Solution

The fourth proportional to 17,017.16, 23,483.93 and 9,464.31 is: 13,060.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,017.16 : 23,483.93 = 9,464.31 : x
  2. Step 2: Convert to fraction form
    17,017.16/23,483.93 = 9,464.31/x
  3. Step 3: Cross multiply
    17,017.16x = 23,483.93 × 9,464.31
  4. Step 4: Simplify right side
    17,017.16x = 222,259,146.22
  5. Step 5: Solve for x
    x = 222,259,146.22/17,017.16
  6. Step 6: Final answer
    x = 13,060.89

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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.