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Finding the Fourth Proportional to 23,173.17, 31,967.16 and 14,660.96

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Solution

The fourth proportional to 23,173.17, 31,967.16 and 14,660.96 is: 20,224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,173.17 : 31,967.16 = 14,660.96 : x
  2. Step 2: Convert to fraction form
    23,173.17/31,967.16 = 14,660.96/x
  3. Step 3: Cross multiply
    23,173.17x = 31,967.16 × 14,660.96
  4. Step 4: Simplify right side
    23,173.17x = 468,669,094.24
  5. Step 5: Solve for x
    x = 468,669,094.24/23,173.17
  6. Step 6: Final answer
    x = 20,224.64

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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.