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Finding the Fourth Proportional to 23,393.70, 32,283.24 and 12,783.40

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Solution

The fourth proportional to 23,393.70, 32,283.24 and 12,783.40 is: 17,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,393.70 : 32,283.24 = 12,783.40 : x
  2. Step 2: Convert to fraction form
    23,393.70/32,283.24 = 12,783.40/x
  3. Step 3: Cross multiply
    23,393.70x = 32,283.24 × 12,783.40
  4. Step 4: Simplify right side
    23,393.70x = 412,689,570.22
  5. Step 5: Solve for x
    x = 412,689,570.22/23,393.70
  6. Step 6: Final answer
    x = 17,641.06

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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.