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Finding the Fourth Proportional to 20,386.14, 30,575.93 and 5,591.60

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Solution

The fourth proportional to 20,386.14, 30,575.93 and 5,591.60 is: 8,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,386.14 : 30,575.93 = 5,591.60 : x
  2. Step 2: Convert to fraction form
    20,386.14/30,575.93 = 5,591.60/x
  3. Step 3: Cross multiply
    20,386.14x = 30,575.93 × 5,591.60
  4. Step 4: Simplify right side
    20,386.14x = 170,968,370.19
  5. Step 5: Solve for x
    x = 170,968,370.19/20,386.14
  6. Step 6: Final answer
    x = 8,386.50

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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.