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Finding the Fourth Proportional to 25,714.35, 38,574.36 and 8,180.08

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Solution

The fourth proportional to 25,714.35, 38,574.36 and 8,180.08 is: 12,271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.35 : 38,574.36 = 8,180.08 : x
  2. Step 2: Convert to fraction form
    25,714.35/38,574.36 = 8,180.08/x
  3. Step 3: Cross multiply
    25,714.35x = 38,574.36 × 8,180.08
  4. Step 4: Simplify right side
    25,714.35x = 315,541,254.31
  5. Step 5: Solve for x
    x = 315,541,254.31/25,714.35
  6. Step 6: Final answer
    x = 12,271.02

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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.