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Finding the Fourth Proportional to 17,048, 23,526.24 and 9,971.84

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Solution

The fourth proportional to 17,048, 23,526.24 and 9,971.84 is: 13,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,048 : 23,526.24 = 9,971.84 : x
  2. Step 2: Convert to fraction form
    17,048/23,526.24 = 9,971.84/x
  3. Step 3: Cross multiply
    17,048x = 23,526.24 × 9,971.84
  4. Step 4: Simplify right side
    17,048x = 234,599,901.08
  5. Step 5: Solve for x
    x = 234,599,901.08/17,048
  6. Step 6: Final answer
    x = 13,761.14

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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.