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Finding the Fourth Proportional to 20,821.57, 28,733.80 and 11,390.13

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Solution

The fourth proportional to 20,821.57, 28,733.80 and 11,390.13 is: 15,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,821.57 : 28,733.80 = 11,390.13 : x
  2. Step 2: Convert to fraction form
    20,821.57/28,733.80 = 11,390.13/x
  3. Step 3: Cross multiply
    20,821.57x = 28,733.80 × 11,390.13
  4. Step 4: Simplify right side
    20,821.57x = 327,281,717.39
  5. Step 5: Solve for x
    x = 327,281,717.39/20,821.57
  6. Step 6: Final answer
    x = 15,718.40

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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.