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Finding the Fourth Proportional to 23,808.30, 35,715.12 and 9,767.76

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Solution

The fourth proportional to 23,808.30, 35,715.12 and 9,767.76 is: 14,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.30 : 35,715.12 = 9,767.76 : x
  2. Step 2: Convert to fraction form
    23,808.30/35,715.12 = 9,767.76/x
  3. Step 3: Cross multiply
    23,808.30x = 35,715.12 × 9,767.76
  4. Step 4: Simplify right side
    23,808.30x = 348,856,720.53
  5. Step 5: Solve for x
    x = 348,856,720.53/23,808.30
  6. Step 6: Final answer
    x = 14,652.74

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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.