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Finding the Fourth Proportional to 13,885.24, 19,161.54 and 7,597.60

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Solution

The fourth proportional to 13,885.24, 19,161.54 and 7,597.60 is: 10,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.24 : 19,161.54 = 7,597.60 : x
  2. Step 2: Convert to fraction form
    13,885.24/19,161.54 = 7,597.60/x
  3. Step 3: Cross multiply
    13,885.24x = 19,161.54 × 7,597.60
  4. Step 4: Simplify right side
    13,885.24x = 145,581,716.30
  5. Step 5: Solve for x
    x = 145,581,716.30/13,885.24
  6. Step 6: Final answer
    x = 10,484.64

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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.