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Finding the Fourth Proportional to 13,782.10, 20,656.74 and 9,599.47

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Solution

The fourth proportional to 13,782.10, 20,656.74 and 9,599.47 is: 14,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.10 : 20,656.74 = 9,599.47 : x
  2. Step 2: Convert to fraction form
    13,782.10/20,656.74 = 9,599.47/x
  3. Step 3: Cross multiply
    13,782.10x = 20,656.74 × 9,599.47
  4. Step 4: Simplify right side
    13,782.10x = 198,293,755.93
  5. Step 5: Solve for x
    x = 198,293,755.93/13,782.10
  6. Step 6: Final answer
    x = 14,387.78

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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.