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Finding the Fourth Proportional to 14,136, 21,194.64 and 6,741.60

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Solution

The fourth proportional to 14,136, 21,194.64 and 6,741.60 is: 10,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,136 : 21,194.64 = 6,741.60 : x
  2. Step 2: Convert to fraction form
    14,136/21,194.64 = 6,741.60/x
  3. Step 3: Cross multiply
    14,136x = 21,194.64 × 6,741.60
  4. Step 4: Simplify right side
    14,136x = 142,885,785.02
  5. Step 5: Solve for x
    x = 142,885,785.02/14,136
  6. Step 6: Final answer
    x = 10,107.94

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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.