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Finding the Fourth Proportional to 20,519.83, 30,779.29 and 5,728.42

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Solution

The fourth proportional to 20,519.83, 30,779.29 and 5,728.42 is: 8,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,519.83 : 30,779.29 = 5,728.42 : x
  2. Step 2: Convert to fraction form
    20,519.83/30,779.29 = 5,728.42/x
  3. Step 3: Cross multiply
    20,519.83x = 30,779.29 × 5,728.42
  4. Step 4: Simplify right side
    20,519.83x = 176,316,746.06
  5. Step 5: Solve for x
    x = 176,316,746.06/20,519.83
  6. Step 6: Final answer
    x = 8,592.50

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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.