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Finding the Fourth Proportional to 23,676.24, 35,506.68 and 7,877.04

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Solution

The fourth proportional to 23,676.24, 35,506.68 and 7,877.04 is: 11,813.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,676.24 : 35,506.68 = 7,877.04 : x
  2. Step 2: Convert to fraction form
    23,676.24/35,506.68 = 7,877.04/x
  3. Step 3: Cross multiply
    23,676.24x = 35,506.68 × 7,877.04
  4. Step 4: Simplify right side
    23,676.24x = 279,687,538.63
  5. Step 5: Solve for x
    x = 279,687,538.63/23,676.24
  6. Step 6: Final answer
    x = 11,813.00

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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.