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Finding the Fourth Proportional to 14,720.94, 20,309.33 and 9,406.53

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Solution

The fourth proportional to 14,720.94, 20,309.33 and 9,406.53 is: 12,977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,720.94 : 20,309.33 = 9,406.53 : x
  2. Step 2: Convert to fraction form
    14,720.94/20,309.33 = 9,406.53/x
  3. Step 3: Cross multiply
    14,720.94x = 20,309.33 × 9,406.53
  4. Step 4: Simplify right side
    14,720.94x = 191,040,345.44
  5. Step 5: Solve for x
    x = 191,040,345.44/14,720.94
  6. Step 6: Final answer
    x = 12,977.46

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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.