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Finding the Fourth Proportional to 16,302.25, 22,497.19 and 9,588.16

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Solution

The fourth proportional to 16,302.25, 22,497.19 and 9,588.16 is: 13,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.25 : 22,497.19 = 9,588.16 : x
  2. Step 2: Convert to fraction form
    16,302.25/22,497.19 = 9,588.16/x
  3. Step 3: Cross multiply
    16,302.25x = 22,497.19 × 9,588.16
  4. Step 4: Simplify right side
    16,302.25x = 215,706,544.78
  5. Step 5: Solve for x
    x = 215,706,544.78/16,302.25
  6. Step 6: Final answer
    x = 13,231.71

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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.