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Finding the Fourth Proportional to 23,586.42, 32,549.02 and 12,976.06

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Solution

The fourth proportional to 23,586.42, 32,549.02 and 12,976.06 is: 17,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,586.42 : 32,549.02 = 12,976.06 : x
  2. Step 2: Convert to fraction form
    23,586.42/32,549.02 = 12,976.06/x
  3. Step 3: Cross multiply
    23,586.42x = 32,549.02 × 12,976.06
  4. Step 4: Simplify right side
    23,586.42x = 422,358,036.46
  5. Step 5: Solve for x
    x = 422,358,036.46/23,586.42
  6. Step 6: Final answer
    x = 17,906.83

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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.