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Finding the Fourth Proportional to 17,465.75, 24,102.73 and 9,507.97

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Solution

The fourth proportional to 17,465.75, 24,102.73 and 9,507.97 is: 13,121.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,465.75 : 24,102.73 = 9,507.97 : x
  2. Step 2: Convert to fraction form
    17,465.75/24,102.73 = 9,507.97/x
  3. Step 3: Cross multiply
    17,465.75x = 24,102.73 × 9,507.97
  4. Step 4: Simplify right side
    17,465.75x = 229,168,033.76
  5. Step 5: Solve for x
    x = 229,168,033.76/17,465.75
  6. Step 6: Final answer
    x = 13,121.00

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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.