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Finding the Fourth Proportional to 16,970.56, 23,419.50 and 9,416.92

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Solution

The fourth proportional to 16,970.56, 23,419.50 and 9,416.92 is: 12,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970.56 : 23,419.50 = 9,416.92 : x
  2. Step 2: Convert to fraction form
    16,970.56/23,419.50 = 9,416.92/x
  3. Step 3: Cross multiply
    16,970.56x = 23,419.50 × 9,416.92
  4. Step 4: Simplify right side
    16,970.56x = 220,539,557.94
  5. Step 5: Solve for x
    x = 220,539,557.94/16,970.56
  6. Step 6: Final answer
    x = 12,995.42

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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.