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Finding the Fourth Proportional to 23,676.41, 35,502.45 and 7,875.74

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Solution

The fourth proportional to 23,676.41, 35,502.45 and 7,875.74 is: 11,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,676.41 : 35,502.45 = 7,875.74 : x
  2. Step 2: Convert to fraction form
    23,676.41/35,502.45 = 7,875.74/x
  3. Step 3: Cross multiply
    23,676.41x = 35,502.45 × 7,875.74
  4. Step 4: Simplify right side
    23,676.41x = 279,608,065.56
  5. Step 5: Solve for x
    x = 279,608,065.56/23,676.41
  6. Step 6: Final answer
    x = 11,809.56

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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.