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Finding the Fourth Proportional to 23,533.44, 32,476.64 and 12,923.84

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Solution

The fourth proportional to 23,533.44, 32,476.64 and 12,923.84 is: 17,835.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.44 : 32,476.64 = 12,923.84 : x
  2. Step 2: Convert to fraction form
    23,533.44/32,476.64 = 12,923.84/x
  3. Step 3: Cross multiply
    23,533.44x = 32,476.64 × 12,923.84
  4. Step 4: Simplify right side
    23,533.44x = 419,722,899.10
  5. Step 5: Solve for x
    x = 419,722,899.10/23,533.44
  6. Step 6: Final answer
    x = 17,835.17

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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.