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Finding the Fourth Proportional to 23,016.12, 31,761 and 12,946.20

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Solution

The fourth proportional to 23,016.12, 31,761 and 12,946.20 is: 17,865.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,016.12 : 31,761 = 12,946.20 : x
  2. Step 2: Convert to fraction form
    23,016.12/31,761 = 12,946.20/x
  3. Step 3: Cross multiply
    23,016.12x = 31,761 × 12,946.20
  4. Step 4: Simplify right side
    23,016.12x = 411,184,258.20
  5. Step 5: Solve for x
    x = 411,184,258.20/23,016.12
  6. Step 6: Final answer
    x = 17,865.06

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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.