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Finding the Fourth Proportional to 23,261.78, 32,185.74 and 20,283.80

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Solution

The fourth proportional to 23,261.78, 32,185.74 and 20,283.80 is: 28,065.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,261.78 : 32,185.74 = 20,283.80 : x
  2. Step 2: Convert to fraction form
    23,261.78/32,185.74 = 20,283.80/x
  3. Step 3: Cross multiply
    23,261.78x = 32,185.74 × 20,283.80
  4. Step 4: Simplify right side
    23,261.78x = 652,849,113.01
  5. Step 5: Solve for x
    x = 652,849,113.01/23,261.78
  6. Step 6: Final answer
    x = 28,065.31

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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.