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Finding the Fourth Proportional to 14,442.75, 21,664.74 and 4,581.81

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Solution

The fourth proportional to 14,442.75, 21,664.74 and 4,581.81 is: 6,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.75 : 21,664.74 = 4,581.81 : x
  2. Step 2: Convert to fraction form
    14,442.75/21,664.74 = 4,581.81/x
  3. Step 3: Cross multiply
    14,442.75x = 21,664.74 × 4,581.81
  4. Step 4: Simplify right side
    14,442.75x = 99,263,722.38
  5. Step 5: Solve for x
    x = 99,263,722.38/14,442.75
  6. Step 6: Final answer
    x = 6,872.91

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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.