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Finding the Fourth Proportional to 15,676.84, 23,513.82 and 5,288.68

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Solution

The fourth proportional to 15,676.84, 23,513.82 and 5,288.68 is: 7,932.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676.84 : 23,513.82 = 5,288.68 : x
  2. Step 2: Convert to fraction form
    15,676.84/23,513.82 = 5,288.68/x
  3. Step 3: Cross multiply
    15,676.84x = 23,513.82 × 5,288.68
  4. Step 4: Simplify right side
    15,676.84x = 124,357,069.56
  5. Step 5: Solve for x
    x = 124,357,069.56/15,676.84
  6. Step 6: Final answer
    x = 7,932.53

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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.