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Finding the Fourth Proportional to 28,516.96, 42,784.74 and 13,727.08

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Solution

The fourth proportional to 28,516.96, 42,784.74 and 13,727.08 is: 20,595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,516.96 : 42,784.74 = 13,727.08 : x
  2. Step 2: Convert to fraction form
    28,516.96/42,784.74 = 13,727.08/x
  3. Step 3: Cross multiply
    28,516.96x = 42,784.74 × 13,727.08
  4. Step 4: Simplify right side
    28,516.96x = 587,309,548.76
  5. Step 5: Solve for x
    x = 587,309,548.76/28,516.96
  6. Step 6: Final answer
    x = 20,595.10

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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.