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Finding the Fourth Proportional to 13,714.38, 18,926.19 and 7,746.12

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Solution

The fourth proportional to 13,714.38, 18,926.19 and 7,746.12 is: 10,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.38 : 18,926.19 = 7,746.12 : x
  2. Step 2: Convert to fraction form
    13,714.38/18,926.19 = 7,746.12/x
  3. Step 3: Cross multiply
    13,714.38x = 18,926.19 × 7,746.12
  4. Step 4: Simplify right side
    13,714.38x = 146,604,538.88
  5. Step 5: Solve for x
    x = 146,604,538.88/13,714.38
  6. Step 6: Final answer
    x = 10,689.84

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Why These Related Problems?

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