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Finding the Fourth Proportional to 21,823.60, 30,115.50 and 12,391.96

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Solution

The fourth proportional to 21,823.60, 30,115.50 and 12,391.96 is: 17,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,823.60 : 30,115.50 = 12,391.96 : x
  2. Step 2: Convert to fraction form
    21,823.60/30,115.50 = 12,391.96/x
  3. Step 3: Cross multiply
    21,823.60x = 30,115.50 × 12,391.96
  4. Step 4: Simplify right side
    21,823.60x = 373,190,071.38
  5. Step 5: Solve for x
    x = 373,190,071.38/21,823.60
  6. Step 6: Final answer
    x = 17,100.30

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Why These Related Problems?

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