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Finding the Fourth Proportional to 20,839.36, 28,758.72 and 11,407.72

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Solution

The fourth proportional to 20,839.36, 28,758.72 and 11,407.72 is: 15,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,839.36 : 28,758.72 = 11,407.72 : x
  2. Step 2: Convert to fraction form
    20,839.36/28,758.72 = 11,407.72/x
  3. Step 3: Cross multiply
    20,839.36x = 28,758.72 × 11,407.72
  4. Step 4: Simplify right side
    20,839.36x = 328,071,425.32
  5. Step 5: Solve for x
    x = 328,071,425.32/20,839.36
  6. Step 6: Final answer
    x = 15,742.87

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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.