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Finding the Fourth Proportional to 13,302.40, 19,924.80 and 11,843.20

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Solution

The fourth proportional to 13,302.40, 19,924.80 and 11,843.20 is: 17,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.40 : 19,924.80 = 11,843.20 : x
  2. Step 2: Convert to fraction form
    13,302.40/19,924.80 = 11,843.20/x
  3. Step 3: Cross multiply
    13,302.40x = 19,924.80 × 11,843.20
  4. Step 4: Simplify right side
    13,302.40x = 235,973,391.36
  5. Step 5: Solve for x
    x = 235,973,391.36/13,302.40
  6. Step 6: Final answer
    x = 17,739.16

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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.