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Finding the Fourth Proportional to 14,982, 20,674.80 and 8,267.52

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Solution

The fourth proportional to 14,982, 20,674.80 and 8,267.52 is: 11,408.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982 : 20,674.80 = 8,267.52 : x
  2. Step 2: Convert to fraction form
    14,982/20,674.80 = 8,267.52/x
  3. Step 3: Cross multiply
    14,982x = 20,674.80 × 8,267.52
  4. Step 4: Simplify right side
    14,982x = 170,929,322.50
  5. Step 5: Solve for x
    x = 170,929,322.50/14,982
  6. Step 6: Final answer
    x = 11,408.98

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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.