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Finding the Fourth Proportional to 16,543.02, 24,815.90 and 5,300

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Solution

The fourth proportional to 16,543.02, 24,815.90 and 5,300 is: 7,950.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.02 : 24,815.90 = 5,300 : x
  2. Step 2: Convert to fraction form
    16,543.02/24,815.90 = 5,300/x
  3. Step 3: Cross multiply
    16,543.02x = 24,815.90 × 5,300
  4. Step 4: Simplify right side
    16,543.02x = 131,524,243.50
  5. Step 5: Solve for x
    x = 131,524,243.50/16,543.02
  6. Step 6: Final answer
    x = 7,950.44

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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.