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Finding the Fourth Proportional to 13,509.36, 18,642.24 and 7,920

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Solution

The fourth proportional to 13,509.36, 18,642.24 and 7,920 is: 10,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.36 : 18,642.24 = 7,920 : x
  2. Step 2: Convert to fraction form
    13,509.36/18,642.24 = 7,920/x
  3. Step 3: Cross multiply
    13,509.36x = 18,642.24 × 7,920
  4. Step 4: Simplify right side
    13,509.36x = 147,646,540.80
  5. Step 5: Solve for x
    x = 147,646,540.80/13,509.36
  6. Step 6: Final answer
    x = 10,929.20

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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.