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Finding the Fourth Proportional to 26,340.85, 39,529.04 and 9,714.18

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Solution

The fourth proportional to 26,340.85, 39,529.04 and 9,714.18 is: 14,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,340.85 : 39,529.04 = 9,714.18 : x
  2. Step 2: Convert to fraction form
    26,340.85/39,529.04 = 9,714.18/x
  3. Step 3: Cross multiply
    26,340.85x = 39,529.04 × 9,714.18
  4. Step 4: Simplify right side
    26,340.85x = 383,992,114.42
  5. Step 5: Solve for x
    x = 383,992,114.42/26,340.85
  6. Step 6: Final answer
    x = 14,577.82

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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.