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Finding the Fourth Proportional to 23,676.08, 35,506.80 and 7,877.72

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Solution

The fourth proportional to 23,676.08, 35,506.80 and 7,877.72 is: 11,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,676.08 : 35,506.80 = 7,877.72 : x
  2. Step 2: Convert to fraction form
    23,676.08/35,506.80 = 7,877.72/x
  3. Step 3: Cross multiply
    23,676.08x = 35,506.80 × 7,877.72
  4. Step 4: Simplify right side
    23,676.08x = 279,712,628.50
  5. Step 5: Solve for x
    x = 279,712,628.50/23,676.08
  6. Step 6: Final answer
    x = 11,814.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.