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Finding the Fourth Proportional to 14,096, 19,452.48 and 8,507

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Solution

The fourth proportional to 14,096, 19,452.48 and 8,507 is: 11,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096 : 19,452.48 = 8,507 : x
  2. Step 2: Convert to fraction form
    14,096/19,452.48 = 8,507/x
  3. Step 3: Cross multiply
    14,096x = 19,452.48 × 8,507
  4. Step 4: Simplify right side
    14,096x = 165,482,247.36
  5. Step 5: Solve for x
    x = 165,482,247.36/14,096
  6. Step 6: Final answer
    x = 11,739.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.