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Finding the Fourth Proportional to 14,223.21, 19,605.67 and 9,739.20

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Solution

The fourth proportional to 14,223.21, 19,605.67 and 9,739.20 is: 13,424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223.21 : 19,605.67 = 9,739.20 : x
  2. Step 2: Convert to fraction form
    14,223.21/19,605.67 = 9,739.20/x
  3. Step 3: Cross multiply
    14,223.21x = 19,605.67 × 9,739.20
  4. Step 4: Simplify right side
    14,223.21x = 190,943,541.26
  5. Step 5: Solve for x
    x = 190,943,541.26/14,223.21
  6. Step 6: Final answer
    x = 13,424.79

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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.