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Finding the Fourth Proportional to 13,594.94, 20,395.50 and 4,829.84

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Solution

The fourth proportional to 13,594.94, 20,395.50 and 4,829.84 is: 7,245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.94 : 20,395.50 = 4,829.84 : x
  2. Step 2: Convert to fraction form
    13,594.94/20,395.50 = 4,829.84/x
  3. Step 3: Cross multiply
    13,594.94x = 20,395.50 × 4,829.84
  4. Step 4: Simplify right side
    13,594.94x = 98,507,001.72
  5. Step 5: Solve for x
    x = 98,507,001.72/13,594.94
  6. Step 6: Final answer
    x = 7,245.86

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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.