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Finding the Fourth Proportional to 23,297.46, 32,150.54 and 12,687.14

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Solution

The fourth proportional to 23,297.46, 32,150.54 and 12,687.14 is: 17,508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,297.46 : 32,150.54 = 12,687.14 : x
  2. Step 2: Convert to fraction form
    23,297.46/32,150.54 = 12,687.14/x
  3. Step 3: Cross multiply
    23,297.46x = 32,150.54 × 12,687.14
  4. Step 4: Simplify right side
    23,297.46x = 407,898,402.06
  5. Step 5: Solve for x
    x = 407,898,402.06/23,297.46
  6. Step 6: Final answer
    x = 17,508.28

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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.