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Finding the Fourth Proportional to 23,393.51, 32,282.99 and 12,783.12

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Solution

The fourth proportional to 23,393.51, 32,282.99 and 12,783.12 is: 17,640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,393.51 : 32,282.99 = 12,783.12 : x
  2. Step 2: Convert to fraction form
    23,393.51/32,282.99 = 12,783.12/x
  3. Step 3: Cross multiply
    23,393.51x = 32,282.99 × 12,783.12
  4. Step 4: Simplify right side
    23,393.51x = 412,677,335.13
  5. Step 5: Solve for x
    x = 412,677,335.13/23,393.51
  6. Step 6: Final answer
    x = 17,640.68

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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.