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Finding the Fourth Proportional to 13,803.84, 20,684.16 and 7,558.56

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Solution

The fourth proportional to 13,803.84, 20,684.16 and 7,558.56 is: 11,326.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.84 : 20,684.16 = 7,558.56 : x
  2. Step 2: Convert to fraction form
    13,803.84/20,684.16 = 7,558.56/x
  3. Step 3: Cross multiply
    13,803.84x = 20,684.16 × 7,558.56
  4. Step 4: Simplify right side
    13,803.84x = 156,342,464.41
  5. Step 5: Solve for x
    x = 156,342,464.41/13,803.84
  6. Step 6: Final answer
    x = 11,326.01

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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.