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Finding the Fourth Proportional to 23,102.84, 34,658.04 and 11,416.16

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Solution

The fourth proportional to 23,102.84, 34,658.04 and 11,416.16 is: 17,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.84 : 34,658.04 = 11,416.16 : x
  2. Step 2: Convert to fraction form
    23,102.84/34,658.04 = 11,416.16/x
  3. Step 3: Cross multiply
    23,102.84x = 34,658.04 × 11,416.16
  4. Step 4: Simplify right side
    23,102.84x = 395,661,729.93
  5. Step 5: Solve for x
    x = 395,661,729.93/23,102.84
  6. Step 6: Final answer
    x = 17,126.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.