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Finding the Fourth Proportional to 16,652.07, 24,978.11 and 4,964.38

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Solution

The fourth proportional to 16,652.07, 24,978.11 and 4,964.38 is: 7,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,652.07 : 24,978.11 = 4,964.38 : x
  2. Step 2: Convert to fraction form
    16,652.07/24,978.11 = 4,964.38/x
  3. Step 3: Cross multiply
    16,652.07x = 24,978.11 × 4,964.38
  4. Step 4: Simplify right side
    16,652.07x = 124,000,742.45
  5. Step 5: Solve for x
    x = 124,000,742.45/16,652.07
  6. Step 6: Final answer
    x = 7,446.57

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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.