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Finding the Fourth Proportional to 25,714.60, 38,574.74 and 8,180.34

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Solution

The fourth proportional to 25,714.60, 38,574.74 and 8,180.34 is: 12,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.60 : 38,574.74 = 8,180.34 : x
  2. Step 2: Convert to fraction form
    25,714.60/38,574.74 = 8,180.34/x
  3. Step 3: Cross multiply
    25,714.60x = 38,574.74 × 8,180.34
  4. Step 4: Simplify right side
    25,714.60x = 315,554,254.84
  5. Step 5: Solve for x
    x = 315,554,254.84/25,714.60
  6. Step 6: Final answer
    x = 12,271.40

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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.