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Finding the Fourth Proportional to 12,820.69, 19,230.15 and 6,161.95

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Solution

The fourth proportional to 12,820.69, 19,230.15 and 6,161.95 is: 9,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.69 : 19,230.15 = 6,161.95 : x
  2. Step 2: Convert to fraction form
    12,820.69/19,230.15 = 6,161.95/x
  3. Step 3: Cross multiply
    12,820.69x = 19,230.15 × 6,161.95
  4. Step 4: Simplify right side
    12,820.69x = 118,495,222.79
  5. Step 5: Solve for x
    x = 118,495,222.79/12,820.69
  6. Step 6: Final answer
    x = 9,242.50

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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.