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Finding the Fourth Proportional to 17,047.24, 25,581.84 and 7,186.56

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Solution

The fourth proportional to 17,047.24, 25,581.84 and 7,186.56 is: 10,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,047.24 : 25,581.84 = 7,186.56 : x
  2. Step 2: Convert to fraction form
    17,047.24/25,581.84 = 7,186.56/x
  3. Step 3: Cross multiply
    17,047.24x = 25,581.84 × 7,186.56
  4. Step 4: Simplify right side
    17,047.24x = 183,845,428.07
  5. Step 5: Solve for x
    x = 183,845,428.07/17,047.24
  6. Step 6: Final answer
    x = 10,784.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.