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Finding the Fourth Proportional to 23,212.64, 32,033.41 and 12,602.27

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Solution

The fourth proportional to 23,212.64, 32,033.41 and 12,602.27 is: 17,391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.64 : 32,033.41 = 12,602.27 : x
  2. Step 2: Convert to fraction form
    23,212.64/32,033.41 = 12,602.27/x
  3. Step 3: Cross multiply
    23,212.64x = 32,033.41 × 12,602.27
  4. Step 4: Simplify right side
    23,212.64x = 403,693,681.84
  5. Step 5: Solve for x
    x = 403,693,681.84/23,212.64
  6. Step 6: Final answer
    x = 17,391.11

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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.