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Finding the Fourth Proportional to 20,298.12, 30,403.44 and 9,888

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Solution

The fourth proportional to 20,298.12, 30,403.44 and 9,888 is: 14,810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.12 : 30,403.44 = 9,888 : x
  2. Step 2: Convert to fraction form
    20,298.12/30,403.44 = 9,888/x
  3. Step 3: Cross multiply
    20,298.12x = 30,403.44 × 9,888
  4. Step 4: Simplify right side
    20,298.12x = 300,629,214.72
  5. Step 5: Solve for x
    x = 300,629,214.72/20,298.12
  6. Step 6: Final answer
    x = 14,810.69

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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.