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Finding the Fourth Proportional to 20,741.18, 28,621.86 and 12,784.16

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Solution

The fourth proportional to 20,741.18, 28,621.86 and 12,784.16 is: 17,641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,741.18 : 28,621.86 = 12,784.16 : x
  2. Step 2: Convert to fraction form
    20,741.18/28,621.86 = 12,784.16/x
  3. Step 3: Cross multiply
    20,741.18x = 28,621.86 × 12,784.16
  4. Step 4: Simplify right side
    20,741.18x = 365,906,437.74
  5. Step 5: Solve for x
    x = 365,906,437.74/20,741.18
  6. Step 6: Final answer
    x = 17,641.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.