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Finding the Fourth Proportional to 17,078.64, 23,569.74 and 9,525.48

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Solution

The fourth proportional to 17,078.64, 23,569.74 and 9,525.48 is: 13,145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,078.64 : 23,569.74 = 9,525.48 : x
  2. Step 2: Convert to fraction form
    17,078.64/23,569.74 = 9,525.48/x
  3. Step 3: Cross multiply
    17,078.64x = 23,569.74 × 9,525.48
  4. Step 4: Simplify right side
    17,078.64x = 224,513,086.98
  5. Step 5: Solve for x
    x = 224,513,086.98/17,078.64
  6. Step 6: Final answer
    x = 13,145.84

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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.