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Finding the Fourth Proportional to 16,969.77, 23,446.46 and 13,412.01

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Solution

The fourth proportional to 16,969.77, 23,446.46 and 13,412.01 is: 18,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969.77 : 23,446.46 = 13,412.01 : x
  2. Step 2: Convert to fraction form
    16,969.77/23,446.46 = 13,412.01/x
  3. Step 3: Cross multiply
    16,969.77x = 23,446.46 × 13,412.01
  4. Step 4: Simplify right side
    16,969.77x = 314,464,088.92
  5. Step 5: Solve for x
    x = 314,464,088.92/16,969.77
  6. Step 6: Final answer
    x = 18,530.84

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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.