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Finding the Fourth Proportional to 15,676.52, 23,518.02 and 5,288

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Solution

The fourth proportional to 15,676.52, 23,518.02 and 5,288 is: 7,933.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676.52 : 23,518.02 = 5,288 : x
  2. Step 2: Convert to fraction form
    15,676.52/23,518.02 = 5,288/x
  3. Step 3: Cross multiply
    15,676.52x = 23,518.02 × 5,288
  4. Step 4: Simplify right side
    15,676.52x = 124,363,289.76
  5. Step 5: Solve for x
    x = 124,363,289.76/15,676.52
  6. Step 6: Final answer
    x = 7,933.09

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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.