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Finding the Fourth Proportional to 23,297.76, 32,150.06 and 12,687.16

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Solution

The fourth proportional to 23,297.76, 32,150.06 and 12,687.16 is: 17,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,297.76 : 32,150.06 = 12,687.16 : x
  2. Step 2: Convert to fraction form
    23,297.76/32,150.06 = 12,687.16/x
  3. Step 3: Cross multiply
    23,297.76x = 32,150.06 × 12,687.16
  4. Step 4: Simplify right side
    23,297.76x = 407,892,955.23
  5. Step 5: Solve for x
    x = 407,892,955.23/23,297.76
  6. Step 6: Final answer
    x = 17,507.82

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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.