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Finding the Fourth Proportional to 20,588.76, 28,412.62 and 11,157.38

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Solution

The fourth proportional to 20,588.76, 28,412.62 and 11,157.38 is: 15,397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588.76 : 28,412.62 = 11,157.38 : x
  2. Step 2: Convert to fraction form
    20,588.76/28,412.62 = 11,157.38/x
  3. Step 3: Cross multiply
    20,588.76x = 28,412.62 × 11,157.38
  4. Step 4: Simplify right side
    20,588.76x = 317,010,398.14
  5. Step 5: Solve for x
    x = 317,010,398.14/20,588.76
  6. Step 6: Final answer
    x = 15,397.26

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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.