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Finding the Fourth Proportional to 26,305.32, 39,457.66 and 7,835.88

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Solution

The fourth proportional to 26,305.32, 39,457.66 and 7,835.88 is: 11,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,305.32 : 39,457.66 = 7,835.88 : x
  2. Step 2: Convert to fraction form
    26,305.32/39,457.66 = 7,835.88/x
  3. Step 3: Cross multiply
    26,305.32x = 39,457.66 × 7,835.88
  4. Step 4: Simplify right side
    26,305.32x = 309,185,488.84
  5. Step 5: Solve for x
    x = 309,185,488.84/26,305.32
  6. Step 6: Final answer
    x = 11,753.72

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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.