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Finding the Fourth Proportional to 23,392.89, 32,283 and 12,783.22

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Solution

The fourth proportional to 23,392.89, 32,283 and 12,783.22 is: 17,641.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,392.89 : 32,283 = 12,783.22 : x
  2. Step 2: Convert to fraction form
    23,392.89/32,283 = 12,783.22/x
  3. Step 3: Cross multiply
    23,392.89x = 32,283 × 12,783.22
  4. Step 4: Simplify right side
    23,392.89x = 412,680,610.55
  5. Step 5: Solve for x
    x = 412,680,610.55/23,392.89
  6. Step 6: Final answer
    x = 17,641.28

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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.