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Finding the Fourth Proportional to 12,714.58, 19,043 and 10,945.54

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Solution

The fourth proportional to 12,714.58, 19,043 and 10,945.54 is: 16,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.58 : 19,043 = 10,945.54 : x
  2. Step 2: Convert to fraction form
    12,714.58/19,043 = 10,945.54/x
  3. Step 3: Cross multiply
    12,714.58x = 19,043 × 10,945.54
  4. Step 4: Simplify right side
    12,714.58x = 208,435,918.22
  5. Step 5: Solve for x
    x = 208,435,918.22/12,714.58
  6. Step 6: Final answer
    x = 16,393.46

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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.