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Finding the Fourth Proportional to 13,784.09, 19,023.98 and 9,968.12

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Solution

The fourth proportional to 13,784.09, 19,023.98 and 9,968.12 is: 13,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.09 : 19,023.98 = 9,968.12 : x
  2. Step 2: Convert to fraction form
    13,784.09/19,023.98 = 9,968.12/x
  3. Step 3: Cross multiply
    13,784.09x = 19,023.98 × 9,968.12
  4. Step 4: Simplify right side
    13,784.09x = 189,633,315.52
  5. Step 5: Solve for x
    x = 189,633,315.52/13,784.09
  6. Step 6: Final answer
    x = 13,757.41

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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.