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Finding the Fourth Proportional to 14,800.30, 20,423.82 and 8,085.76

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Solution

The fourth proportional to 14,800.30, 20,423.82 and 8,085.76 is: 11,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,800.30 : 20,423.82 = 8,085.76 : x
  2. Step 2: Convert to fraction form
    14,800.30/20,423.82 = 8,085.76/x
  3. Step 3: Cross multiply
    14,800.30x = 20,423.82 × 8,085.76
  4. Step 4: Simplify right side
    14,800.30x = 165,142,106.80
  5. Step 5: Solve for x
    x = 165,142,106.80/14,800.30
  6. Step 6: Final answer
    x = 11,158.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.