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Finding the Fourth Proportional to 13,714.32, 18,925.76 and 7,745.72

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Solution

The fourth proportional to 13,714.32, 18,925.76 and 7,745.72 is: 10,689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.32 : 18,925.76 = 7,745.72 : x
  2. Step 2: Convert to fraction form
    13,714.32/18,925.76 = 7,745.72/x
  3. Step 3: Cross multiply
    13,714.32x = 18,925.76 × 7,745.72
  4. Step 4: Simplify right side
    13,714.32x = 146,593,637.75
  5. Step 5: Solve for x
    x = 146,593,637.75/13,714.32
  6. Step 6: Final answer
    x = 10,689.09

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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.