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Finding the Fourth Proportional to 17,686, 26,463.56 and 10,670.08

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Solution

The fourth proportional to 17,686, 26,463.56 and 10,670.08 is: 15,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686 : 26,463.56 = 10,670.08 : x
  2. Step 2: Convert to fraction form
    17,686/26,463.56 = 10,670.08/x
  3. Step 3: Cross multiply
    17,686x = 26,463.56 × 10,670.08
  4. Step 4: Simplify right side
    17,686x = 282,368,302.28
  5. Step 5: Solve for x
    x = 282,368,302.28/17,686
  6. Step 6: Final answer
    x = 15,965.64

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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.