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Finding the Fourth Proportional to 23,398.40, 32,289.62 and 12,787.80

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Solution

The fourth proportional to 23,398.40, 32,289.62 and 12,787.80 is: 17,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,398.40 : 32,289.62 = 12,787.80 : x
  2. Step 2: Convert to fraction form
    23,398.40/32,289.62 = 12,787.80/x
  3. Step 3: Cross multiply
    23,398.40x = 32,289.62 × 12,787.80
  4. Step 4: Simplify right side
    23,398.40x = 412,913,202.64
  5. Step 5: Solve for x
    x = 412,913,202.64/23,398.40
  6. Step 6: Final answer
    x = 17,647.07

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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.