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Finding the Fourth Proportional to 12,200.59, 16,830.32 and 7,421.99

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Solution

The fourth proportional to 12,200.59, 16,830.32 and 7,421.99 is: 10,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.59 : 16,830.32 = 7,421.99 : x
  2. Step 2: Convert to fraction form
    12,200.59/16,830.32 = 7,421.99/x
  3. Step 3: Cross multiply
    12,200.59x = 16,830.32 × 7,421.99
  4. Step 4: Simplify right side
    12,200.59x = 124,914,499.54
  5. Step 5: Solve for x
    x = 124,914,499.54/12,200.59
  6. Step 6: Final answer
    x = 10,238.40

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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.