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Finding the Fourth Proportional to 14,285.18, 19,714.64 and 8,236.40

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Solution

The fourth proportional to 14,285.18, 19,714.64 and 8,236.40 is: 11,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.18 : 19,714.64 = 8,236.40 : x
  2. Step 2: Convert to fraction form
    14,285.18/19,714.64 = 8,236.40/x
  3. Step 3: Cross multiply
    14,285.18x = 19,714.64 × 8,236.40
  4. Step 4: Simplify right side
    14,285.18x = 162,377,521.14
  5. Step 5: Solve for x
    x = 162,377,521.14/14,285.18
  6. Step 6: Final answer
    x = 11,366.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.