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Finding the Fourth Proportional to 14,201.85, 21,302.65 and 6,302.46

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Solution

The fourth proportional to 14,201.85, 21,302.65 and 6,302.46 is: 9,453.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.85 : 21,302.65 = 6,302.46 : x
  2. Step 2: Convert to fraction form
    14,201.85/21,302.65 = 6,302.46/x
  3. Step 3: Cross multiply
    14,201.85x = 21,302.65 × 6,302.46
  4. Step 4: Simplify right side
    14,201.85x = 134,259,099.52
  5. Step 5: Solve for x
    x = 134,259,099.52/14,201.85
  6. Step 6: Final answer
    x = 9,453.63

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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.