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Finding the Fourth Proportional to 12,722, 19,084.32 and 3,488

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Solution

The fourth proportional to 12,722, 19,084.32 and 3,488 is: 5,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722 : 19,084.32 = 3,488 : x
  2. Step 2: Convert to fraction form
    12,722/19,084.32 = 3,488/x
  3. Step 3: Cross multiply
    12,722x = 19,084.32 × 3,488
  4. Step 4: Simplify right side
    12,722x = 66,566,108.16
  5. Step 5: Solve for x
    x = 66,566,108.16/12,722
  6. Step 6: Final answer
    x = 5,232.36

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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.