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Finding the Fourth Proportional to 12,813.62, 19,222.28 and 4,046.51

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Solution

The fourth proportional to 12,813.62, 19,222.28 and 4,046.51 is: 6,070.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.62 : 19,222.28 = 4,046.51 : x
  2. Step 2: Convert to fraction form
    12,813.62/19,222.28 = 4,046.51/x
  3. Step 3: Cross multiply
    12,813.62x = 19,222.28 × 4,046.51
  4. Step 4: Simplify right side
    12,813.62x = 77,783,031.90
  5. Step 5: Solve for x
    x = 77,783,031.90/12,813.62
  6. Step 6: Final answer
    x = 6,070.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.