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Finding the Fourth Proportional to 14,022.30, 21,028.90 and 4,659.81

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Solution

The fourth proportional to 14,022.30, 21,028.90 and 4,659.81 is: 6,988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022.30 : 21,028.90 = 4,659.81 : x
  2. Step 2: Convert to fraction form
    14,022.30/21,028.90 = 4,659.81/x
  3. Step 3: Cross multiply
    14,022.30x = 21,028.90 × 4,659.81
  4. Step 4: Simplify right side
    14,022.30x = 97,990,573.36
  5. Step 5: Solve for x
    x = 97,990,573.36/14,022.30
  6. Step 6: Final answer
    x = 6,988.19

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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.