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Finding the Fourth Proportional to 14,096, 21,144 and 5,888

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Solution

The fourth proportional to 14,096, 21,144 and 5,888 is: 8,832

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096 : 21,144 = 5,888 : x
  2. Step 2: Convert to fraction form
    14,096/21,144 = 5,888/x
  3. Step 3: Cross multiply
    14,096x = 21,144 × 5,888
  4. Step 4: Simplify right side
    14,096x = 124,495,872
  5. Step 5: Solve for x
    x = 124,495,872/14,096
  6. Step 6: Final answer
    x = 8,832

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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.