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Finding the Fourth Proportional to 22,084, 30,476.08 and 12,148

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Solution

The fourth proportional to 22,084, 30,476.08 and 12,148 is: 16,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,084 : 30,476.08 = 12,148 : x
  2. Step 2: Convert to fraction form
    22,084/30,476.08 = 12,148/x
  3. Step 3: Cross multiply
    22,084x = 30,476.08 × 12,148
  4. Step 4: Simplify right side
    22,084x = 370,223,419.84
  5. Step 5: Solve for x
    x = 370,223,419.84/22,084
  6. Step 6: Final answer
    x = 16,764.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.