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Finding the Fourth Proportional to 13,913, 19,199.96 and 7,625.24

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Solution

The fourth proportional to 13,913, 19,199.96 and 7,625.24 is: 10,522.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913 : 19,199.96 = 7,625.24 : x
  2. Step 2: Convert to fraction form
    13,913/19,199.96 = 7,625.24/x
  3. Step 3: Cross multiply
    13,913x = 19,199.96 × 7,625.24
  4. Step 4: Simplify right side
    13,913x = 146,404,302.99
  5. Step 5: Solve for x
    x = 146,404,302.99/13,913
  6. Step 6: Final answer
    x = 10,522.84

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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.