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Finding the Fourth Proportional to 13,772.25, 20,661.62 and 4,538.25

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Solution

The fourth proportional to 13,772.25, 20,661.62 and 4,538.25 is: 6,808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.25 : 20,661.62 = 4,538.25 : x
  2. Step 2: Convert to fraction form
    13,772.25/20,661.62 = 4,538.25/x
  3. Step 3: Cross multiply
    13,772.25x = 20,661.62 × 4,538.25
  4. Step 4: Simplify right side
    13,772.25x = 93,767,574.27
  5. Step 5: Solve for x
    x = 93,767,574.27/13,772.25
  6. Step 6: Final answer
    x = 6,808.44

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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.