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Finding the Fourth Proportional to 16,970.54, 23,419.18 and 9,416.89

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Solution

The fourth proportional to 16,970.54, 23,419.18 and 9,416.89 is: 12,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970.54 : 23,419.18 = 9,416.89 : x
  2. Step 2: Convert to fraction form
    16,970.54/23,419.18 = 9,416.89/x
  3. Step 3: Cross multiply
    16,970.54x = 23,419.18 × 9,416.89
  4. Step 4: Simplify right side
    16,970.54x = 220,535,841.95
  5. Step 5: Solve for x
    x = 220,535,841.95/16,970.54
  6. Step 6: Final answer
    x = 12,995.22

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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.