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Finding the Fourth Proportional to 20,569.57, 30,849.54 and 5,779.90

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Solution

The fourth proportional to 20,569.57, 30,849.54 and 5,779.90 is: 8,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,569.57 : 30,849.54 = 5,779.90 : x
  2. Step 2: Convert to fraction form
    20,569.57/30,849.54 = 5,779.90/x
  3. Step 3: Cross multiply
    20,569.57x = 30,849.54 × 5,779.90
  4. Step 4: Simplify right side
    20,569.57x = 178,307,256.25
  5. Step 5: Solve for x
    x = 178,307,256.25/20,569.57
  6. Step 6: Final answer
    x = 8,668.50

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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.