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Finding the Fourth Proportional to 13,225.76, 18,254.40 and 7,920.80

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Solution

The fourth proportional to 13,225.76, 18,254.40 and 7,920.80 is: 10,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.76 : 18,254.40 = 7,920.80 : x
  2. Step 2: Convert to fraction form
    13,225.76/18,254.40 = 7,920.80/x
  3. Step 3: Cross multiply
    13,225.76x = 18,254.40 × 7,920.80
  4. Step 4: Simplify right side
    13,225.76x = 144,589,451.52
  5. Step 5: Solve for x
    x = 144,589,451.52/13,225.76
  6. Step 6: Final answer
    x = 10,932.41

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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.