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Finding the Fourth Proportional to 20,716.76, 28,590 and 11,285.84

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Solution

The fourth proportional to 20,716.76, 28,590 and 11,285.84 is: 15,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,716.76 : 28,590 = 11,285.84 : x
  2. Step 2: Convert to fraction form
    20,716.76/28,590 = 11,285.84/x
  3. Step 3: Cross multiply
    20,716.76x = 28,590 × 11,285.84
  4. Step 4: Simplify right side
    20,716.76x = 322,662,165.60
  5. Step 5: Solve for x
    x = 322,662,165.60/20,716.76
  6. Step 6: Final answer
    x = 15,574.93

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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.