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Finding the Fourth Proportional to 14,537.60, 21,832.80 and 12,723.20

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Solution

The fourth proportional to 14,537.60, 21,832.80 and 12,723.20 is: 19,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.60 : 21,832.80 = 12,723.20 : x
  2. Step 2: Convert to fraction form
    14,537.60/21,832.80 = 12,723.20/x
  3. Step 3: Cross multiply
    14,537.60x = 21,832.80 × 12,723.20
  4. Step 4: Simplify right side
    14,537.60x = 277,783,080.96
  5. Step 5: Solve for x
    x = 277,783,080.96/14,537.60
  6. Step 6: Final answer
    x = 19,107.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.