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Finding the Fourth Proportional to 16,862.16, 23,268.84 and 9,410.64

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Solution

The fourth proportional to 16,862.16, 23,268.84 and 9,410.64 is: 12,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,862.16 : 23,268.84 = 9,410.64 : x
  2. Step 2: Convert to fraction form
    16,862.16/23,268.84 = 9,410.64/x
  3. Step 3: Cross multiply
    16,862.16x = 23,268.84 × 9,410.64
  4. Step 4: Simplify right side
    16,862.16x = 218,974,676.46
  5. Step 5: Solve for x
    x = 218,974,676.46/16,862.16
  6. Step 6: Final answer
    x = 12,986.16

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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.