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Finding the Fourth Proportional to 20,565.88, 30,835.84 and 17,446.99

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Solution

The fourth proportional to 20,565.88, 30,835.84 and 17,446.99 is: 26,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.88 : 30,835.84 = 17,446.99 : x
  2. Step 2: Convert to fraction form
    20,565.88/30,835.84 = 17,446.99/x
  3. Step 3: Cross multiply
    20,565.88x = 30,835.84 × 17,446.99
  4. Step 4: Simplify right side
    20,565.88x = 537,992,592.12
  5. Step 5: Solve for x
    x = 537,992,592.12/20,565.88
  6. Step 6: Final answer
    x = 26,159.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.