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Finding the Fourth Proportional to 16,539.98, 24,803.48 and 7,299.50

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Solution

The fourth proportional to 16,539.98, 24,803.48 and 7,299.50 is: 10,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.98 : 24,803.48 = 7,299.50 : x
  2. Step 2: Convert to fraction form
    16,539.98/24,803.48 = 7,299.50/x
  3. Step 3: Cross multiply
    16,539.98x = 24,803.48 × 7,299.50
  4. Step 4: Simplify right side
    16,539.98x = 181,053,002.26
  5. Step 5: Solve for x
    x = 181,053,002.26/16,539.98
  6. Step 6: Final answer
    x = 10,946.39

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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.