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Finding the Fourth Proportional to 18,551, 27,828.12 and 4,700

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Solution

The fourth proportional to 18,551, 27,828.12 and 4,700 is: 7,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,551 : 27,828.12 = 4,700 : x
  2. Step 2: Convert to fraction form
    18,551/27,828.12 = 4,700/x
  3. Step 3: Cross multiply
    18,551x = 27,828.12 × 4,700
  4. Step 4: Simplify right side
    18,551x = 130,792,164
  5. Step 5: Solve for x
    x = 130,792,164/18,551
  6. Step 6: Final answer
    x = 7,050.41

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Why These Related Problems?

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