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Finding the Fourth Proportional to 20,966.64, 28,935.76 and 11,537.20

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Solution

The fourth proportional to 20,966.64, 28,935.76 and 11,537.20 is: 15,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,966.64 : 28,935.76 = 11,537.20 : x
  2. Step 2: Convert to fraction form
    20,966.64/28,935.76 = 11,537.20/x
  3. Step 3: Cross multiply
    20,966.64x = 28,935.76 × 11,537.20
  4. Step 4: Simplify right side
    20,966.64x = 333,837,650.27
  5. Step 5: Solve for x
    x = 333,837,650.27/20,966.64
  6. Step 6: Final answer
    x = 15,922.32

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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.