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Finding the Fourth Proportional to 23,314.44, 34,978.80 and 13,965.12

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Solution

The fourth proportional to 23,314.44, 34,978.80 and 13,965.12 is: 20,951.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314.44 : 34,978.80 = 13,965.12 : x
  2. Step 2: Convert to fraction form
    23,314.44/34,978.80 = 13,965.12/x
  3. Step 3: Cross multiply
    23,314.44x = 34,978.80 × 13,965.12
  4. Step 4: Simplify right side
    23,314.44x = 488,483,139.46
  5. Step 5: Solve for x
    x = 488,483,139.46/23,314.44
  6. Step 6: Final answer
    x = 20,951.96

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Why These Related Problems?

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