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Finding the Fourth Proportional to 23,864.44, 35,725.38 and 14,476

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Solution

The fourth proportional to 23,864.44, 35,725.38 and 14,476 is: 21,670.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,864.44 : 35,725.38 = 14,476 : x
  2. Step 2: Convert to fraction form
    23,864.44/35,725.38 = 14,476/x
  3. Step 3: Cross multiply
    23,864.44x = 35,725.38 × 14,476
  4. Step 4: Simplify right side
    23,864.44x = 517,160,600.88
  5. Step 5: Solve for x
    x = 517,160,600.88/23,864.44
  6. Step 6: Final answer
    x = 21,670.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.