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Finding the Fourth Proportional to 13,969.34, 19,305.33 and 11,447.47

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Solution

The fourth proportional to 13,969.34, 19,305.33 and 11,447.47 is: 15,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.34 : 19,305.33 = 11,447.47 : x
  2. Step 2: Convert to fraction form
    13,969.34/19,305.33 = 11,447.47/x
  3. Step 3: Cross multiply
    13,969.34x = 19,305.33 × 11,447.47
  4. Step 4: Simplify right side
    13,969.34x = 220,997,089.49
  5. Step 5: Solve for x
    x = 220,997,089.49/13,969.34
  6. Step 6: Final answer
    x = 15,820.16

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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.