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Finding the Fourth Proportional to 13,824.99, 19,078.61 and 7,537.77

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Solution

The fourth proportional to 13,824.99, 19,078.61 and 7,537.77 is: 10,402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.99 : 19,078.61 = 7,537.77 : x
  2. Step 2: Convert to fraction form
    13,824.99/19,078.61 = 7,537.77/x
  3. Step 3: Cross multiply
    13,824.99x = 19,078.61 × 7,537.77
  4. Step 4: Simplify right side
    13,824.99x = 143,810,136.41
  5. Step 5: Solve for x
    x = 143,810,136.41/13,824.99
  6. Step 6: Final answer
    x = 10,402.19

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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.