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Finding the Fourth Proportional to 16,970.27, 23,447.15 and 13,412.51

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Solution

The fourth proportional to 16,970.27, 23,447.15 and 13,412.51 is: 18,531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970.27 : 23,447.15 = 13,412.51 : x
  2. Step 2: Convert to fraction form
    16,970.27/23,447.15 = 13,412.51/x
  3. Step 3: Cross multiply
    16,970.27x = 23,447.15 × 13,412.51
  4. Step 4: Simplify right side
    16,970.27x = 314,485,133.85
  5. Step 5: Solve for x
    x = 314,485,133.85/16,970.27
  6. Step 6: Final answer
    x = 18,531.53

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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.