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Finding the Fourth Proportional to 13,636.30, 20,418 and 7,784.86

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Solution

The fourth proportional to 13,636.30, 20,418 and 7,784.86 is: 11,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,636.30 : 20,418 = 7,784.86 : x
  2. Step 2: Convert to fraction form
    13,636.30/20,418 = 7,784.86/x
  3. Step 3: Cross multiply
    13,636.30x = 20,418 × 7,784.86
  4. Step 4: Simplify right side
    13,636.30x = 158,951,271.48
  5. Step 5: Solve for x
    x = 158,951,271.48/13,636.30
  6. Step 6: Final answer
    x = 11,656.48

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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.