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Finding the Fourth Proportional to 12,810.29, 19,217.86 and 4,046.49

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Solution

The fourth proportional to 12,810.29, 19,217.86 and 4,046.49 is: 6,070.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.29 : 19,217.86 = 4,046.49 : x
  2. Step 2: Convert to fraction form
    12,810.29/19,217.86 = 4,046.49/x
  3. Step 3: Cross multiply
    12,810.29x = 19,217.86 × 4,046.49
  4. Step 4: Simplify right side
    12,810.29x = 77,764,868.20
  5. Step 5: Solve for x
    x = 77,764,868.20/12,810.29
  6. Step 6: Final answer
    x = 6,070.50

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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.