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Finding the Fourth Proportional to 13,416.27, 18,513.53 and 7,447.47

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Solution

The fourth proportional to 13,416.27, 18,513.53 and 7,447.47 is: 10,276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.27 : 18,513.53 = 7,447.47 : x
  2. Step 2: Convert to fraction form
    13,416.27/18,513.53 = 7,447.47/x
  3. Step 3: Cross multiply
    13,416.27x = 18,513.53 × 7,447.47
  4. Step 4: Simplify right side
    13,416.27x = 137,878,949.96
  5. Step 5: Solve for x
    x = 137,878,949.96/13,416.27
  6. Step 6: Final answer
    x = 10,276.99

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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.