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Finding the Fourth Proportional to 24,503.22, 36,708.46 and 14,478

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Solution

The fourth proportional to 24,503.22, 36,708.46 and 14,478 is: 21,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503.22 : 36,708.46 = 14,478 : x
  2. Step 2: Convert to fraction form
    24,503.22/36,708.46 = 14,478/x
  3. Step 3: Cross multiply
    24,503.22x = 36,708.46 × 14,478
  4. Step 4: Simplify right side
    24,503.22x = 531,465,083.88
  5. Step 5: Solve for x
    x = 531,465,083.88/24,503.22
  6. Step 6: Final answer
    x = 21,689.60

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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.