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Finding the Fourth Proportional to 14,865.20, 20,514.14 and 8,492.63

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Solution

The fourth proportional to 14,865.20, 20,514.14 and 8,492.63 is: 11,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865.20 : 20,514.14 = 8,492.63 : x
  2. Step 2: Convert to fraction form
    14,865.20/20,514.14 = 8,492.63/x
  3. Step 3: Cross multiply
    14,865.20x = 20,514.14 × 8,492.63
  4. Step 4: Simplify right side
    14,865.20x = 174,218,855.75
  5. Step 5: Solve for x
    x = 174,218,855.75/14,865.20
  6. Step 6: Final answer
    x = 11,719.92

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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.