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Finding the Fourth Proportional to 13,114.49, 19,674.53 and 4,230.32

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Solution

The fourth proportional to 13,114.49, 19,674.53 and 4,230.32 is: 6,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.49 : 19,674.53 = 4,230.32 : x
  2. Step 2: Convert to fraction form
    13,114.49/19,674.53 = 4,230.32/x
  3. Step 3: Cross multiply
    13,114.49x = 19,674.53 × 4,230.32
  4. Step 4: Simplify right side
    13,114.49x = 83,229,557.75
  5. Step 5: Solve for x
    x = 83,229,557.75/13,114.49
  6. Step 6: Final answer
    x = 6,346.38

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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.