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Finding the Fourth Proportional to 20,967.21, 28,935.29 and 11,407.69

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Solution

The fourth proportional to 20,967.21, 28,935.29 and 11,407.69 is: 15,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,967.21 : 28,935.29 = 11,407.69 : x
  2. Step 2: Convert to fraction form
    20,967.21/28,935.29 = 11,407.69/x
  3. Step 3: Cross multiply
    20,967.21x = 28,935.29 × 11,407.69
  4. Step 4: Simplify right side
    20,967.21x = 330,084,818.38
  5. Step 5: Solve for x
    x = 330,084,818.38/20,967.21
  6. Step 6: Final answer
    x = 15,742.91

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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.