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Finding the Fourth Proportional to 14,464.13, 21,696.20 and 5,230.13

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Solution

The fourth proportional to 14,464.13, 21,696.20 and 5,230.13 is: 7,845.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.13 : 21,696.20 = 5,230.13 : x
  2. Step 2: Convert to fraction form
    14,464.13/21,696.20 = 5,230.13/x
  3. Step 3: Cross multiply
    14,464.13x = 21,696.20 × 5,230.13
  4. Step 4: Simplify right side
    14,464.13x = 113,473,811.87
  5. Step 5: Solve for x
    x = 113,473,811.87/14,464.13
  6. Step 6: Final answer
    x = 7,845.19

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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.