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Finding the Fourth Proportional to 21,822.90, 30,115.64 and 12,391.46

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Solution

The fourth proportional to 21,822.90, 30,115.64 and 12,391.46 is: 17,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822.90 : 30,115.64 = 12,391.46 : x
  2. Step 2: Convert to fraction form
    21,822.90/30,115.64 = 12,391.46/x
  3. Step 3: Cross multiply
    21,822.90x = 30,115.64 × 12,391.46
  4. Step 4: Simplify right side
    21,822.90x = 373,176,748.43
  5. Step 5: Solve for x
    x = 373,176,748.43/21,822.90
  6. Step 6: Final answer
    x = 17,100.24

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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.