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Finding the Fourth Proportional to 22,084.13, 30,476.10 and 12,658.16

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Solution

The fourth proportional to 22,084.13, 30,476.10 and 12,658.16 is: 17,468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,084.13 : 30,476.10 = 12,658.16 : x
  2. Step 2: Convert to fraction form
    22,084.13/30,476.10 = 12,658.16/x
  3. Step 3: Cross multiply
    22,084.13x = 30,476.10 × 12,658.16
  4. Step 4: Simplify right side
    22,084.13x = 385,771,197.60
  5. Step 5: Solve for x
    x = 385,771,197.60/22,084.13
  6. Step 6: Final answer
    x = 17,468.26

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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.