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Finding the Fourth Proportional to 15,826.32, 23,732.64 and 5,958.72

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Solution

The fourth proportional to 15,826.32, 23,732.64 and 5,958.72 is: 8,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,826.32 : 23,732.64 = 5,958.72 : x
  2. Step 2: Convert to fraction form
    15,826.32/23,732.64 = 5,958.72/x
  3. Step 3: Cross multiply
    15,826.32x = 23,732.64 × 5,958.72
  4. Step 4: Simplify right side
    15,826.32x = 141,416,156.62
  5. Step 5: Solve for x
    x = 141,416,156.62/15,826.32
  6. Step 6: Final answer
    x = 8,935.50

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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.