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Finding the Fourth Proportional to 13,464.34, 18,582.96 and 7,799.20

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Solution

The fourth proportional to 13,464.34, 18,582.96 and 7,799.20 is: 10,764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.34 : 18,582.96 = 7,799.20 : x
  2. Step 2: Convert to fraction form
    13,464.34/18,582.96 = 7,799.20/x
  3. Step 3: Cross multiply
    13,464.34x = 18,582.96 × 7,799.20
  4. Step 4: Simplify right side
    13,464.34x = 144,932,221.63
  5. Step 5: Solve for x
    x = 144,932,221.63/13,464.34
  6. Step 6: Final answer
    x = 10,764.15

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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.