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Finding the Fourth Proportional to 13,714.88, 18,927.34 and 7,746.39

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Solution

The fourth proportional to 13,714.88, 18,927.34 and 7,746.39 is: 10,690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.88 : 18,927.34 = 7,746.39 : x
  2. Step 2: Convert to fraction form
    13,714.88/18,927.34 = 7,746.39/x
  3. Step 3: Cross multiply
    13,714.88x = 18,927.34 × 7,746.39
  4. Step 4: Simplify right side
    13,714.88x = 146,618,537.94
  5. Step 5: Solve for x
    x = 146,618,537.94/13,714.88
  6. Step 6: Final answer
    x = 10,690.48

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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.