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Finding the Fourth Proportional to 14,170, 21,255.75 and 4,308.53

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Solution

The fourth proportional to 14,170, 21,255.75 and 4,308.53 is: 6,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,170 : 21,255.75 = 4,308.53 : x
  2. Step 2: Convert to fraction form
    14,170/21,255.75 = 4,308.53/x
  3. Step 3: Cross multiply
    14,170x = 21,255.75 × 4,308.53
  4. Step 4: Simplify right side
    14,170x = 91,581,036.55
  5. Step 5: Solve for x
    x = 91,581,036.55/14,170
  6. Step 6: Final answer
    x = 6,463.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.