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Finding the Fourth Proportional to 15,876.29, 23,793.80 and 6,505.67

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Solution

The fourth proportional to 15,876.29, 23,793.80 and 6,505.67 is: 9,750.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.29 : 23,793.80 = 6,505.67 : x
  2. Step 2: Convert to fraction form
    15,876.29/23,793.80 = 6,505.67/x
  3. Step 3: Cross multiply
    15,876.29x = 23,793.80 × 6,505.67
  4. Step 4: Simplify right side
    15,876.29x = 154,794,459.35
  5. Step 5: Solve for x
    x = 154,794,459.35/15,876.29
  6. Step 6: Final answer
    x = 9,750.04

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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.