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Finding the Fourth Proportional to 14,115, 21,172.50 and 4,881

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Solution

The fourth proportional to 14,115, 21,172.50 and 4,881 is: 7,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115 : 21,172.50 = 4,881 : x
  2. Step 2: Convert to fraction form
    14,115/21,172.50 = 4,881/x
  3. Step 3: Cross multiply
    14,115x = 21,172.50 × 4,881
  4. Step 4: Simplify right side
    14,115x = 103,342,972.50
  5. Step 5: Solve for x
    x = 103,342,972.50/14,115
  6. Step 6: Final answer
    x = 7,321.50

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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.