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Finding the Fourth Proportional to 14,680.50, 22,016.13 and 4,817.46

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Solution

The fourth proportional to 14,680.50, 22,016.13 and 4,817.46 is: 7,224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,680.50 : 22,016.13 = 4,817.46 : x
  2. Step 2: Convert to fraction form
    14,680.50/22,016.13 = 4,817.46/x
  3. Step 3: Cross multiply
    14,680.50x = 22,016.13 × 4,817.46
  4. Step 4: Simplify right side
    14,680.50x = 106,061,825.63
  5. Step 5: Solve for x
    x = 106,061,825.63/14,680.50
  6. Step 6: Final answer
    x = 7,224.67

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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.