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Finding the Fourth Proportional to 16,852.64, 23,257.68 and 9,400.64

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Solution

The fourth proportional to 16,852.64, 23,257.68 and 9,400.64 is: 12,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.64 : 23,257.68 = 9,400.64 : x
  2. Step 2: Convert to fraction form
    16,852.64/23,257.68 = 9,400.64/x
  3. Step 3: Cross multiply
    16,852.64x = 23,257.68 × 9,400.64
  4. Step 4: Simplify right side
    16,852.64x = 218,637,076.92
  5. Step 5: Solve for x
    x = 218,637,076.92/16,852.64
  6. Step 6: Final answer
    x = 12,973.46

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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.