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Finding the Fourth Proportional to 14,310.94, 19,746.57 and 8,644.18

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Solution

The fourth proportional to 14,310.94, 19,746.57 and 8,644.18 is: 11,927.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.94 : 19,746.57 = 8,644.18 : x
  2. Step 2: Convert to fraction form
    14,310.94/19,746.57 = 8,644.18/x
  3. Step 3: Cross multiply
    14,310.94x = 19,746.57 × 8,644.18
  4. Step 4: Simplify right side
    14,310.94x = 170,692,905.46
  5. Step 5: Solve for x
    x = 170,692,905.46/14,310.94
  6. Step 6: Final answer
    x = 11,927.44

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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.