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Finding the Fourth Proportional to 16,904.16, 23,323.80 and 9,826.32

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Solution

The fourth proportional to 16,904.16, 23,323.80 and 9,826.32 is: 13,558.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,904.16 : 23,323.80 = 9,826.32 : x
  2. Step 2: Convert to fraction form
    16,904.16/23,323.80 = 9,826.32/x
  3. Step 3: Cross multiply
    16,904.16x = 23,323.80 × 9,826.32
  4. Step 4: Simplify right side
    16,904.16x = 229,187,122.42
  5. Step 5: Solve for x
    x = 229,187,122.42/16,904.16
  6. Step 6: Final answer
    x = 13,558.03

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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.