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Finding the Fourth Proportional to 17,236.84, 23,784.24 and 9,681.72

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Solution

The fourth proportional to 17,236.84, 23,784.24 and 9,681.72 is: 13,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,236.84 : 23,784.24 = 9,681.72 : x
  2. Step 2: Convert to fraction form
    17,236.84/23,784.24 = 9,681.72/x
  3. Step 3: Cross multiply
    17,236.84x = 23,784.24 × 9,681.72
  4. Step 4: Simplify right side
    17,236.84x = 230,272,370.25
  5. Step 5: Solve for x
    x = 230,272,370.25/17,236.84
  6. Step 6: Final answer
    x = 13,359.32

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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.