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Finding the Fourth Proportional to 16,658.02, 24,959 and 7,763.77

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Solution

The fourth proportional to 16,658.02, 24,959 and 7,763.77 is: 11,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,658.02 : 24,959 = 7,763.77 : x
  2. Step 2: Convert to fraction form
    16,658.02/24,959 = 7,763.77/x
  3. Step 3: Cross multiply
    16,658.02x = 24,959 × 7,763.77
  4. Step 4: Simplify right side
    16,658.02x = 193,775,935.43
  5. Step 5: Solve for x
    x = 193,775,935.43/16,658.02
  6. Step 6: Final answer
    x = 11,632.59

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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.