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Finding the Fourth Proportional to 14,730.12, 20,322.90 and 9,137.88

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Solution

The fourth proportional to 14,730.12, 20,322.90 and 9,137.88 is: 12,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,730.12 : 20,322.90 = 9,137.88 : x
  2. Step 2: Convert to fraction form
    14,730.12/20,322.90 = 9,137.88/x
  3. Step 3: Cross multiply
    14,730.12x = 20,322.90 × 9,137.88
  4. Step 4: Simplify right side
    14,730.12x = 185,708,221.45
  5. Step 5: Solve for x
    x = 185,708,221.45/14,730.12
  6. Step 6: Final answer
    x = 12,607.38

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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.