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Finding the Fourth Proportional to 13,774.30, 20,643.00 and 6,743.55

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Solution

The fourth proportional to 13,774.30, 20,643.00 and 6,743.55 is: 10,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.30 : 20,643.00 = 6,743.55 : x
  2. Step 2: Convert to fraction form
    13,774.30/20,643.00 = 6,743.55/x
  3. Step 3: Cross multiply
    13,774.30x = 20,643.00 × 6,743.55
  4. Step 4: Simplify right side
    13,774.30x = 139,207,192.71
  5. Step 5: Solve for x
    x = 139,207,192.71/13,774.30
  6. Step 6: Final answer
    x = 10,106.30

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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.