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Finding the Fourth Proportional to 16,970.70, 23,431.72 and 11,318.80

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Solution

The fourth proportional to 16,970.70, 23,431.72 and 11,318.80 is: 15,628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970.70 : 23,431.72 = 11,318.80 : x
  2. Step 2: Convert to fraction form
    16,970.70/23,431.72 = 11,318.80/x
  3. Step 3: Cross multiply
    16,970.70x = 23,431.72 × 11,318.80
  4. Step 4: Simplify right side
    16,970.70x = 265,218,952.34
  5. Step 5: Solve for x
    x = 265,218,952.34/16,970.70
  6. Step 6: Final answer
    x = 15,628.05

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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.