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Finding the Fourth Proportional to 24,216.88, 33,419.61 and 14,656.66

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Solution

The fourth proportional to 24,216.88, 33,419.61 and 14,656.66 is: 20,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,216.88 : 33,419.61 = 14,656.66 : x
  2. Step 2: Convert to fraction form
    24,216.88/33,419.61 = 14,656.66/x
  3. Step 3: Cross multiply
    24,216.88x = 33,419.61 × 14,656.66
  4. Step 4: Simplify right side
    24,216.88x = 489,819,861.10
  5. Step 5: Solve for x
    x = 489,819,861.10/24,216.88
  6. Step 6: Final answer
    x = 20,226.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.