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Finding the Fourth Proportional to 13,384.96, 20,077.44 and 5,594.88

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Solution

The fourth proportional to 13,384.96, 20,077.44 and 5,594.88 is: 8,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.96 : 20,077.44 = 5,594.88 : x
  2. Step 2: Convert to fraction form
    13,384.96/20,077.44 = 5,594.88/x
  3. Step 3: Cross multiply
    13,384.96x = 20,077.44 × 5,594.88
  4. Step 4: Simplify right side
    13,384.96x = 112,330,867.51
  5. Step 5: Solve for x
    x = 112,330,867.51/13,384.96
  6. Step 6: Final answer
    x = 8,392.32

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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.