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Finding the Fourth Proportional to 16,642.56, 22,968.12 and 9,571.26

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Solution

The fourth proportional to 16,642.56, 22,968.12 and 9,571.26 is: 13,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.56 : 22,968.12 = 9,571.26 : x
  2. Step 2: Convert to fraction form
    16,642.56/22,968.12 = 9,571.26/x
  3. Step 3: Cross multiply
    16,642.56x = 22,968.12 × 9,571.26
  4. Step 4: Simplify right side
    16,642.56x = 219,833,848.23
  5. Step 5: Solve for x
    x = 219,833,848.23/16,642.56
  6. Step 6: Final answer
    x = 13,209.14

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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.