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Finding the Fourth Proportional to 16,904.64, 23,328 and 9,454.08

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Solution

The fourth proportional to 16,904.64, 23,328 and 9,454.08 is: 13,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,904.64 : 23,328 = 9,454.08 : x
  2. Step 2: Convert to fraction form
    16,904.64/23,328 = 9,454.08/x
  3. Step 3: Cross multiply
    16,904.64x = 23,328 × 9,454.08
  4. Step 4: Simplify right side
    16,904.64x = 220,544,778.24
  5. Step 5: Solve for x
    x = 220,544,778.24/16,904.64
  6. Step 6: Final answer
    x = 13,046.40

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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.