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Finding the Fourth Proportional to 20,341.52, 30,460.44 and 9,926

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Solution

The fourth proportional to 20,341.52, 30,460.44 and 9,926 is: 14,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,341.52 : 30,460.44 = 9,926 : x
  2. Step 2: Convert to fraction form
    20,341.52/30,460.44 = 9,926/x
  3. Step 3: Cross multiply
    20,341.52x = 30,460.44 × 9,926
  4. Step 4: Simplify right side
    20,341.52x = 302,350,327.44
  5. Step 5: Solve for x
    x = 302,350,327.44/20,341.52
  6. Step 6: Final answer
    x = 14,863.70

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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.