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Finding the Fourth Proportional to 13,142.01, 18,261.96 and 13,007.16

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Solution

The fourth proportional to 13,142.01, 18,261.96 and 13,007.16 is: 18,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.01 : 18,261.96 = 13,007.16 : x
  2. Step 2: Convert to fraction form
    13,142.01/18,261.96 = 13,007.16/x
  3. Step 3: Cross multiply
    13,142.01x = 18,261.96 × 13,007.16
  4. Step 4: Simplify right side
    13,142.01x = 237,536,235.63
  5. Step 5: Solve for x
    x = 237,536,235.63/13,142.01
  6. Step 6: Final answer
    x = 18,074.57

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.