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Finding the Fourth Proportional to 15,926.72, 23,894.16 and 11,256

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Solution

The fourth proportional to 15,926.72, 23,894.16 and 11,256 is: 16,886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,926.72 : 23,894.16 = 11,256 : x
  2. Step 2: Convert to fraction form
    15,926.72/23,894.16 = 11,256/x
  3. Step 3: Cross multiply
    15,926.72x = 23,894.16 × 11,256
  4. Step 4: Simplify right side
    15,926.72x = 268,952,664.96
  5. Step 5: Solve for x
    x = 268,952,664.96/15,926.72
  6. Step 6: Final answer
    x = 16,886.88

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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.