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Finding the Fourth Proportional to 13,604.80, 18,774.88 and 7,636.16

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Solution

The fourth proportional to 13,604.80, 18,774.88 and 7,636.16 is: 10,538.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.80 : 18,774.88 = 7,636.16 : x
  2. Step 2: Convert to fraction form
    13,604.80/18,774.88 = 7,636.16/x
  3. Step 3: Cross multiply
    13,604.80x = 18,774.88 × 7,636.16
  4. Step 4: Simplify right side
    13,604.80x = 143,367,987.66
  5. Step 5: Solve for x
    x = 143,367,987.66/13,604.80
  6. Step 6: Final answer
    x = 10,538.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.