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Finding the Fourth Proportional to 14,393.56, 21,593 and 5,627.92

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Solution

The fourth proportional to 14,393.56, 21,593 and 5,627.92 is: 8,442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,393.56 : 21,593 = 5,627.92 : x
  2. Step 2: Convert to fraction form
    14,393.56/21,593 = 5,627.92/x
  3. Step 3: Cross multiply
    14,393.56x = 21,593 × 5,627.92
  4. Step 4: Simplify right side
    14,393.56x = 121,523,676.56
  5. Step 5: Solve for x
    x = 121,523,676.56/14,393.56
  6. Step 6: Final answer
    x = 8,442.92

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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.