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Finding the Fourth Proportional to 13,268.42, 18,310.71 and 7,300.10

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Solution

The fourth proportional to 13,268.42, 18,310.71 and 7,300.10 is: 10,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,268.42 : 18,310.71 = 7,300.10 : x
  2. Step 2: Convert to fraction form
    13,268.42/18,310.71 = 7,300.10/x
  3. Step 3: Cross multiply
    13,268.42x = 18,310.71 × 7,300.10
  4. Step 4: Simplify right side
    13,268.42x = 133,670,014.07
  5. Step 5: Solve for x
    x = 133,670,014.07/13,268.42
  6. Step 6: Final answer
    x = 10,074.30

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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.