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Finding the Fourth Proportional to 23,156.85, 31,956.48 and 12,546.48

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Solution

The fourth proportional to 23,156.85, 31,956.48 and 12,546.48 is: 17,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,156.85 : 31,956.48 = 12,546.48 : x
  2. Step 2: Convert to fraction form
    23,156.85/31,956.48 = 12,546.48/x
  3. Step 3: Cross multiply
    23,156.85x = 31,956.48 × 12,546.48
  4. Step 4: Simplify right side
    23,156.85x = 400,941,337.19
  5. Step 5: Solve for x
    x = 400,941,337.19/23,156.85
  6. Step 6: Final answer
    x = 17,314.16

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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.