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Finding the Fourth Proportional to 14,704.44, 22,059.66 and 8,547

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Solution

The fourth proportional to 14,704.44, 22,059.66 and 8,547 is: 12,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.44 : 22,059.66 = 8,547 : x
  2. Step 2: Convert to fraction form
    14,704.44/22,059.66 = 8,547/x
  3. Step 3: Cross multiply
    14,704.44x = 22,059.66 × 8,547
  4. Step 4: Simplify right side
    14,704.44x = 188,543,914.02
  5. Step 5: Solve for x
    x = 188,543,914.02/14,704.44
  6. Step 6: Final answer
    x = 12,822.24

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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.