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Finding the Fourth Proportional to 14,268.41, 21,408.75 and 7,693.06

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Solution

The fourth proportional to 14,268.41, 21,408.75 and 7,693.06 is: 11,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,268.41 : 21,408.75 = 7,693.06 : x
  2. Step 2: Convert to fraction form
    14,268.41/21,408.75 = 7,693.06/x
  3. Step 3: Cross multiply
    14,268.41x = 21,408.75 × 7,693.06
  4. Step 4: Simplify right side
    14,268.41x = 164,698,798.28
  5. Step 5: Solve for x
    x = 164,698,798.28/14,268.41
  6. Step 6: Final answer
    x = 11,542.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.