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Finding the Fourth Proportional to 16,331.84, 22,537.53 and 9,527.16

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Solution

The fourth proportional to 16,331.84, 22,537.53 and 9,527.16 is: 13,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,331.84 : 22,537.53 = 9,527.16 : x
  2. Step 2: Convert to fraction form
    16,331.84/22,537.53 = 9,527.16/x
  3. Step 3: Cross multiply
    16,331.84x = 22,537.53 × 9,527.16
  4. Step 4: Simplify right side
    16,331.84x = 214,718,654.31
  5. Step 5: Solve for x
    x = 214,718,654.31/16,331.84
  6. Step 6: Final answer
    x = 13,147.25

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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.