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Finding the Fourth Proportional to 16,592, 24,889.44 and 4,280

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Solution

The fourth proportional to 16,592, 24,889.44 and 4,280 is: 6,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,592 : 24,889.44 = 4,280 : x
  2. Step 2: Convert to fraction form
    16,592/24,889.44 = 4,280/x
  3. Step 3: Cross multiply
    16,592x = 24,889.44 × 4,280
  4. Step 4: Simplify right side
    16,592x = 106,526,803.20
  5. Step 5: Solve for x
    x = 106,526,803.20/16,592
  6. Step 6: Final answer
    x = 6,420.37

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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.