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Finding the Fourth Proportional to 26,460.44, 39,693 and 9,820.66

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Solution

The fourth proportional to 26,460.44, 39,693 and 9,820.66 is: 14,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,460.44 : 39,693 = 9,820.66 : x
  2. Step 2: Convert to fraction form
    26,460.44/39,693 = 9,820.66/x
  3. Step 3: Cross multiply
    26,460.44x = 39,693 × 9,820.66
  4. Step 4: Simplify right side
    26,460.44x = 389,811,457.38
  5. Step 5: Solve for x
    x = 389,811,457.38/26,460.44
  6. Step 6: Final answer
    x = 14,731.86

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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.