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Finding the Fourth Proportional to 17,364, 26,047.23 and 6,975.75

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Solution

The fourth proportional to 17,364, 26,047.23 and 6,975.75 is: 10,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,364 : 26,047.23 = 6,975.75 : x
  2. Step 2: Convert to fraction form
    17,364/26,047.23 = 6,975.75/x
  3. Step 3: Cross multiply
    17,364x = 26,047.23 × 6,975.75
  4. Step 4: Simplify right side
    17,364x = 181,698,964.67
  5. Step 5: Solve for x
    x = 181,698,964.67/17,364
  6. Step 6: Final answer
    x = 10,464.12

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