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Finding the Fourth Proportional to 23,746, 32,766.96 and 13,135.36

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Solution

The fourth proportional to 23,746, 32,766.96 and 13,135.36 is: 18,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,746 : 32,766.96 = 13,135.36 : x
  2. Step 2: Convert to fraction form
    23,746/32,766.96 = 13,135.36/x
  3. Step 3: Cross multiply
    23,746x = 32,766.96 × 13,135.36
  4. Step 4: Simplify right side
    23,746x = 430,405,815.71
  5. Step 5: Solve for x
    x = 430,405,815.71/23,746
  6. Step 6: Final answer
    x = 18,125.40

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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.