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Finding the Fourth Proportional to 14,486.50, 21,730.68 and 4,099.06

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Solution

The fourth proportional to 14,486.50, 21,730.68 and 4,099.06 is: 6,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486.50 : 21,730.68 = 4,099.06 : x
  2. Step 2: Convert to fraction form
    14,486.50/21,730.68 = 4,099.06/x
  3. Step 3: Cross multiply
    14,486.50x = 21,730.68 × 4,099.06
  4. Step 4: Simplify right side
    14,486.50x = 89,075,361.16
  5. Step 5: Solve for x
    x = 89,075,361.16/14,486.50
  6. Step 6: Final answer
    x = 6,148.85

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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.