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Finding the Fourth Proportional to 14,711.22, 22,068 and 4,181.10

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Solution

The fourth proportional to 14,711.22, 22,068 and 4,181.10 is: 6,271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.22 : 22,068 = 4,181.10 : x
  2. Step 2: Convert to fraction form
    14,711.22/22,068 = 4,181.10/x
  3. Step 3: Cross multiply
    14,711.22x = 22,068 × 4,181.10
  4. Step 4: Simplify right side
    14,711.22x = 92,268,514.80
  5. Step 5: Solve for x
    x = 92,268,514.80/14,711.22
  6. Step 6: Final answer
    x = 6,271.98

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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.