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Finding the Fourth Proportional to 24,406.66, 36,606.72 and 6,877.84

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Solution

The fourth proportional to 24,406.66, 36,606.72 and 6,877.84 is: 10,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,406.66 : 36,606.72 = 6,877.84 : x
  2. Step 2: Convert to fraction form
    24,406.66/36,606.72 = 6,877.84/x
  3. Step 3: Cross multiply
    24,406.66x = 36,606.72 × 6,877.84
  4. Step 4: Simplify right side
    24,406.66x = 251,775,163.08
  5. Step 5: Solve for x
    x = 251,775,163.08/24,406.66
  6. Step 6: Final answer
    x = 10,315.84

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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.