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Finding the Fourth Proportional to 20,607.69, 30,913.80 and 6,564.45

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Solution

The fourth proportional to 20,607.69, 30,913.80 and 6,564.45 is: 9,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,607.69 : 30,913.80 = 6,564.45 : x
  2. Step 2: Convert to fraction form
    20,607.69/30,913.80 = 6,564.45/x
  3. Step 3: Cross multiply
    20,607.69x = 30,913.80 × 6,564.45
  4. Step 4: Simplify right side
    20,607.69x = 202,931,939.84
  5. Step 5: Solve for x
    x = 202,931,939.84/20,607.69
  6. Step 6: Final answer
    x = 9,847.39

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