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Finding the Fourth Proportional to 23,592, 35,400.96 and 11,280

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Solution

The fourth proportional to 23,592, 35,400.96 and 11,280 is: 16,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,592 : 35,400.96 = 11,280 : x
  2. Step 2: Convert to fraction form
    23,592/35,400.96 = 11,280/x
  3. Step 3: Cross multiply
    23,592x = 35,400.96 × 11,280
  4. Step 4: Simplify right side
    23,592x = 399,322,828.80
  5. Step 5: Solve for x
    x = 399,322,828.80/23,592
  6. Step 6: Final answer
    x = 16,926.20

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Why These Related Problems?

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