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Finding the Fourth Proportional to 17,148, 23,667.27 and 10,074.42

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Solution

The fourth proportional to 17,148, 23,667.27 and 10,074.42 is: 13,904.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,148 : 23,667.27 = 10,074.42 : x
  2. Step 2: Convert to fraction form
    17,148/23,667.27 = 10,074.42/x
  3. Step 3: Cross multiply
    17,148x = 23,667.27 × 10,074.42
  4. Step 4: Simplify right side
    17,148x = 238,434,018.23
  5. Step 5: Solve for x
    x = 238,434,018.23/17,148
  6. Step 6: Final answer
    x = 13,904.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.