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Finding the Fourth Proportional to 23,730.92, 32,746.23 and 13,657.40

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Solution

The fourth proportional to 23,730.92, 32,746.23 and 13,657.40 is: 18,845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,730.92 : 32,746.23 = 13,657.40 : x
  2. Step 2: Convert to fraction form
    23,730.92/32,746.23 = 13,657.40/x
  3. Step 3: Cross multiply
    23,730.92x = 32,746.23 × 13,657.40
  4. Step 4: Simplify right side
    23,730.92x = 447,228,361.60
  5. Step 5: Solve for x
    x = 447,228,361.60/23,730.92
  6. Step 6: Final answer
    x = 18,845.81

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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.