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Finding the Fourth Proportional to 20,354, 28,088.52 and 11,522

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Solution

The fourth proportional to 20,354, 28,088.52 and 11,522 is: 15,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,354 : 28,088.52 = 11,522 : x
  2. Step 2: Convert to fraction form
    20,354/28,088.52 = 11,522/x
  3. Step 3: Cross multiply
    20,354x = 28,088.52 × 11,522
  4. Step 4: Simplify right side
    20,354x = 323,635,927.44
  5. Step 5: Solve for x
    x = 323,635,927.44/20,354
  6. Step 6: Final answer
    x = 15,900.36

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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.