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Finding the Fourth Proportional to 16,852.56, 23,225.04 and 12,128.64

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Solution

The fourth proportional to 16,852.56, 23,225.04 and 12,128.64 is: 16,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.56 : 23,225.04 = 12,128.64 : x
  2. Step 2: Convert to fraction form
    16,852.56/23,225.04 = 12,128.64/x
  3. Step 3: Cross multiply
    16,852.56x = 23,225.04 × 12,128.64
  4. Step 4: Simplify right side
    16,852.56x = 281,688,149.15
  5. Step 5: Solve for x
    x = 281,688,149.15/16,852.56
  6. Step 6: Final answer
    x = 16,714.86

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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.