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Finding the Fourth Proportional to 26,714.52, 40,074.51 and 9,182.10

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Solution

The fourth proportional to 26,714.52, 40,074.51 and 9,182.10 is: 13,774.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,714.52 : 40,074.51 = 9,182.10 : x
  2. Step 2: Convert to fraction form
    26,714.52/40,074.51 = 9,182.10/x
  3. Step 3: Cross multiply
    26,714.52x = 40,074.51 × 9,182.10
  4. Step 4: Simplify right side
    26,714.52x = 367,968,158.27
  5. Step 5: Solve for x
    x = 367,968,158.27/26,714.52
  6. Step 6: Final answer
    x = 13,774.09

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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.