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Finding the Fourth Proportional to 20,767.96, 28,663.50 and 12,385

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Solution

The fourth proportional to 20,767.96, 28,663.50 and 12,385 is: 17,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,767.96 : 28,663.50 = 12,385 : x
  2. Step 2: Convert to fraction form
    20,767.96/28,663.50 = 12,385/x
  3. Step 3: Cross multiply
    20,767.96x = 28,663.50 × 12,385
  4. Step 4: Simplify right side
    20,767.96x = 354,997,447.50
  5. Step 5: Solve for x
    x = 354,997,447.50/20,767.96
  6. Step 6: Final answer
    x = 17,093.52

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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.