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Finding the Fourth Proportional to 16,970.18, 23,418.86 and 9,416.48

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Solution

The fourth proportional to 16,970.18, 23,418.86 and 9,416.48 is: 12,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970.18 : 23,418.86 = 9,416.48 : x
  2. Step 2: Convert to fraction form
    16,970.18/23,418.86 = 9,416.48/x
  3. Step 3: Cross multiply
    16,970.18x = 23,418.86 × 9,416.48
  4. Step 4: Simplify right side
    16,970.18x = 220,523,062.64
  5. Step 5: Solve for x
    x = 220,523,062.64/16,970.18
  6. Step 6: Final answer
    x = 12,994.74

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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.