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Finding the Fourth Proportional to 13,042.46, 19,514.90 and 7,758.20

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Solution

The fourth proportional to 13,042.46, 19,514.90 and 7,758.20 is: 11,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.46 : 19,514.90 = 7,758.20 : x
  2. Step 2: Convert to fraction form
    13,042.46/19,514.90 = 7,758.20/x
  3. Step 3: Cross multiply
    13,042.46x = 19,514.90 × 7,758.20
  4. Step 4: Simplify right side
    13,042.46x = 151,400,497.18
  5. Step 5: Solve for x
    x = 151,400,497.18/13,042.46
  6. Step 6: Final answer
    x = 11,608.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.