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Finding the Fourth Proportional to 17,332.51, 23,918.47 and 9,778.64

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Solution

The fourth proportional to 17,332.51, 23,918.47 and 9,778.64 is: 13,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,332.51 : 23,918.47 = 9,778.64 : x
  2. Step 2: Convert to fraction form
    17,332.51/23,918.47 = 9,778.64/x
  3. Step 3: Cross multiply
    17,332.51x = 23,918.47 × 9,778.64
  4. Step 4: Simplify right side
    17,332.51x = 233,890,142.83
  5. Step 5: Solve for x
    x = 233,890,142.83/17,332.51
  6. Step 6: Final answer
    x = 13,494.31

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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.