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Finding the Fourth Proportional to 17,252.24, 23,807.54 and 9,698.38

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Solution

The fourth proportional to 17,252.24, 23,807.54 and 9,698.38 is: 13,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,252.24 : 23,807.54 = 9,698.38 : x
  2. Step 2: Convert to fraction form
    17,252.24/23,807.54 = 9,698.38/x
  3. Step 3: Cross multiply
    17,252.24x = 23,807.54 × 9,698.38
  4. Step 4: Simplify right side
    17,252.24x = 230,894,534.51
  5. Step 5: Solve for x
    x = 230,894,534.51/17,252.24
  6. Step 6: Final answer
    x = 13,383.46

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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.