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Finding the Fourth Proportional to 15,861.83, 23,763.98 and 9,623.41

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Solution

The fourth proportional to 15,861.83, 23,763.98 and 9,623.41 is: 14,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,861.83 : 23,763.98 = 9,623.41 : x
  2. Step 2: Convert to fraction form
    15,861.83/23,763.98 = 9,623.41/x
  3. Step 3: Cross multiply
    15,861.83x = 23,763.98 × 9,623.41
  4. Step 4: Simplify right side
    15,861.83x = 228,690,487.42
  5. Step 5: Solve for x
    x = 228,690,487.42/15,861.83
  6. Step 6: Final answer
    x = 14,417.67

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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.