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Finding the Fourth Proportional to 12,714.24, 19,046.76 and 7,150.68

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Solution

The fourth proportional to 12,714.24, 19,046.76 and 7,150.68 is: 10,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.24 : 19,046.76 = 7,150.68 : x
  2. Step 2: Convert to fraction form
    12,714.24/19,046.76 = 7,150.68/x
  3. Step 3: Cross multiply
    12,714.24x = 19,046.76 × 7,150.68
  4. Step 4: Simplify right side
    12,714.24x = 136,197,285.80
  5. Step 5: Solve for x
    x = 136,197,285.80/12,714.24
  6. Step 6: Final answer
    x = 10,712.18

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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.