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Finding the Fourth Proportional to 12,825.34, 19,187.42 and 9,714.34

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Solution

The fourth proportional to 12,825.34, 19,187.42 and 9,714.34 is: 14,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.34 : 19,187.42 = 9,714.34 : x
  2. Step 2: Convert to fraction form
    12,825.34/19,187.42 = 9,714.34/x
  3. Step 3: Cross multiply
    12,825.34x = 19,187.42 × 9,714.34
  4. Step 4: Simplify right side
    12,825.34x = 186,393,121.60
  5. Step 5: Solve for x
    x = 186,393,121.60/12,825.34
  6. Step 6: Final answer
    x = 14,533.19

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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.