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Finding the Fourth Proportional to 17,271.84, 23,833.44 and 9,718.01

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Solution

The fourth proportional to 17,271.84, 23,833.44 and 9,718.01 is: 13,409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,271.84 : 23,833.44 = 9,718.01 : x
  2. Step 2: Convert to fraction form
    17,271.84/23,833.44 = 9,718.01/x
  3. Step 3: Cross multiply
    17,271.84x = 23,833.44 × 9,718.01
  4. Step 4: Simplify right side
    17,271.84x = 231,613,578.46
  5. Step 5: Solve for x
    x = 231,613,578.46/17,271.84
  6. Step 6: Final answer
    x = 13,409.89

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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.