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Finding the Fourth Proportional to 13,887.42, 19,164.55 and 7,513.99

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Solution

The fourth proportional to 13,887.42, 19,164.55 and 7,513.99 is: 10,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.42 : 19,164.55 = 7,513.99 : x
  2. Step 2: Convert to fraction form
    13,887.42/19,164.55 = 7,513.99/x
  3. Step 3: Cross multiply
    13,887.42x = 19,164.55 × 7,513.99
  4. Step 4: Simplify right side
    13,887.42x = 144,002,237.05
  5. Step 5: Solve for x
    x = 144,002,237.05/13,887.42
  6. Step 6: Final answer
    x = 10,369.26

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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.