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Finding the Fourth Proportional to 20,916.09, 31,364.92 and 9,825.93

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Solution

The fourth proportional to 20,916.09, 31,364.92 and 9,825.93 is: 14,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,916.09 : 31,364.92 = 9,825.93 : x
  2. Step 2: Convert to fraction form
    20,916.09/31,364.92 = 9,825.93/x
  3. Step 3: Cross multiply
    20,916.09x = 31,364.92 × 9,825.93
  4. Step 4: Simplify right side
    20,916.09x = 308,189,326.99
  5. Step 5: Solve for x
    x = 308,189,326.99/20,916.09
  6. Step 6: Final answer
    x = 14,734.56

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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.