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Finding the Fourth Proportional to 20,744, 28,625.76 and 11,312.48

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Solution

The fourth proportional to 20,744, 28,625.76 and 11,312.48 is: 15,610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,744 : 28,625.76 = 11,312.48 : x
  2. Step 2: Convert to fraction form
    20,744/28,625.76 = 11,312.48/x
  3. Step 3: Cross multiply
    20,744x = 28,625.76 × 11,312.48
  4. Step 4: Simplify right side
    20,744x = 323,828,337.48
  5. Step 5: Solve for x
    x = 323,828,337.48/20,744
  6. Step 6: Final answer
    x = 15,610.70

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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.