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Finding the Fourth Proportional to 13,968.96, 20,953.43 and 9,827.50

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Solution

The fourth proportional to 13,968.96, 20,953.43 and 9,827.50 is: 14,741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,968.96 : 20,953.43 = 9,827.50 : x
  2. Step 2: Convert to fraction form
    13,968.96/20,953.43 = 9,827.50/x
  3. Step 3: Cross multiply
    13,968.96x = 20,953.43 × 9,827.50
  4. Step 4: Simplify right side
    13,968.96x = 205,919,833.33
  5. Step 5: Solve for x
    x = 205,919,833.33/13,968.96
  6. Step 6: Final answer
    x = 14,741.24

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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.