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Finding the Fourth Proportional to 27,139.40, 40,714.91 and 8,419.03

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Solution

The fourth proportional to 27,139.40, 40,714.91 and 8,419.03 is: 12,630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,139.40 : 40,714.91 = 8,419.03 : x
  2. Step 2: Convert to fraction form
    27,139.40/40,714.91 = 8,419.03/x
  3. Step 3: Cross multiply
    27,139.40x = 40,714.91 × 8,419.03
  4. Step 4: Simplify right side
    27,139.40x = 342,780,048.74
  5. Step 5: Solve for x
    x = 342,780,048.74/27,139.40
  6. Step 6: Final answer
    x = 12,630.35

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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.