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Finding the Fourth Proportional to 20,817.64, 28,727.76 and 11,386

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Solution

The fourth proportional to 20,817.64, 28,727.76 and 11,386 is: 15,712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,817.64 : 28,727.76 = 11,386 : x
  2. Step 2: Convert to fraction form
    20,817.64/28,727.76 = 11,386/x
  3. Step 3: Cross multiply
    20,817.64x = 28,727.76 × 11,386
  4. Step 4: Simplify right side
    20,817.64x = 327,094,275.36
  5. Step 5: Solve for x
    x = 327,094,275.36/20,817.64
  6. Step 6: Final answer
    x = 15,712.36

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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.