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Finding the Fourth Proportional to 15,714.37, 23,571.49 and 6,354.28

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Solution

The fourth proportional to 15,714.37, 23,571.49 and 6,354.28 is: 9,531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.37 : 23,571.49 = 6,354.28 : x
  2. Step 2: Convert to fraction form
    15,714.37/23,571.49 = 6,354.28/x
  3. Step 3: Cross multiply
    15,714.37x = 23,571.49 × 6,354.28
  4. Step 4: Simplify right side
    15,714.37x = 149,779,847.48
  5. Step 5: Solve for x
    x = 149,779,847.48/15,714.37
  6. Step 6: Final answer
    x = 9,531.39

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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.