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Finding the Fourth Proportional to 20,967.36, 28,933.67 and 11,407.17

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Solution

The fourth proportional to 20,967.36, 28,933.67 and 11,407.17 is: 15,741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,967.36 : 28,933.67 = 11,407.17 : x
  2. Step 2: Convert to fraction form
    20,967.36/28,933.67 = 11,407.17/x
  3. Step 3: Cross multiply
    20,967.36x = 28,933.67 × 11,407.17
  4. Step 4: Simplify right side
    20,967.36x = 330,051,235.38
  5. Step 5: Solve for x
    x = 330,051,235.38/20,967.36
  6. Step 6: Final answer
    x = 15,741.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.