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Finding the Fourth Proportional to 21,830.50, 30,128.52 and 13,447

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Solution

The fourth proportional to 21,830.50, 30,128.52 and 13,447 is: 18,558.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.50 : 30,128.52 = 13,447 : x
  2. Step 2: Convert to fraction form
    21,830.50/30,128.52 = 13,447/x
  3. Step 3: Cross multiply
    21,830.50x = 30,128.52 × 13,447
  4. Step 4: Simplify right side
    21,830.50x = 405,138,208.44
  5. Step 5: Solve for x
    x = 405,138,208.44/21,830.50
  6. Step 6: Final answer
    x = 18,558.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.