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Finding the Fourth Proportional to 14,200.85, 21,301.16 and 6,301.46

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Solution

The fourth proportional to 14,200.85, 21,301.16 and 6,301.46 is: 9,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.85 : 21,301.16 = 6,301.46 : x
  2. Step 2: Convert to fraction form
    14,200.85/21,301.16 = 6,301.46/x
  3. Step 3: Cross multiply
    14,200.85x = 21,301.16 × 6,301.46
  4. Step 4: Simplify right side
    14,200.85x = 134,228,429.44
  5. Step 5: Solve for x
    x = 134,228,429.44/14,200.85
  6. Step 6: Final answer
    x = 9,452.14

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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.