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Finding the Fourth Proportional to 16,762, 25,145.64 and 5,513.80

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Solution

The fourth proportional to 16,762, 25,145.64 and 5,513.80 is: 8,271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,762 : 25,145.64 = 5,513.80 : x
  2. Step 2: Convert to fraction form
    16,762/25,145.64 = 5,513.80/x
  3. Step 3: Cross multiply
    16,762x = 25,145.64 × 5,513.80
  4. Step 4: Simplify right side
    16,762x = 138,648,029.83
  5. Step 5: Solve for x
    x = 138,648,029.83/16,762
  6. Step 6: Final answer
    x = 8,271.57

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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.