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Finding the Fourth Proportional to 10,301.50, 14,208.81 and 9,958.58

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Solution

The fourth proportional to 10,301.50, 14,208.81 and 9,958.58 is: 13,735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.50 : 14,208.81 = 9,958.58 : x
  2. Step 2: Convert to fraction form
    10,301.50/14,208.81 = 9,958.58/x
  3. Step 3: Cross multiply
    10,301.50x = 14,208.81 × 9,958.58
  4. Step 4: Simplify right side
    10,301.50x = 141,499,500.05
  5. Step 5: Solve for x
    x = 141,499,500.05/10,301.50
  6. Step 6: Final answer
    x = 13,735.82

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