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Finding the Fourth Proportional to 16,970.27, 23,418.54 and 9,416.57

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Solution

The fourth proportional to 16,970.27, 23,418.54 and 9,416.57 is: 12,994.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970.27 : 23,418.54 = 9,416.57 : x
  2. Step 2: Convert to fraction form
    16,970.27/23,418.54 = 9,416.57/x
  3. Step 3: Cross multiply
    16,970.27x = 23,418.54 × 9,416.57
  4. Step 4: Simplify right side
    16,970.27x = 220,522,204.12
  5. Step 5: Solve for x
    x = 220,522,204.12/16,970.27
  6. Step 6: Final answer
    x = 12,994.62

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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.