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Finding the Fourth Proportional to 20,533.86, 30,802.74 and 5,742.78

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Solution

The fourth proportional to 20,533.86, 30,802.74 and 5,742.78 is: 8,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.86 : 30,802.74 = 5,742.78 : x
  2. Step 2: Convert to fraction form
    20,533.86/30,802.74 = 5,742.78/x
  3. Step 3: Cross multiply
    20,533.86x = 30,802.74 × 5,742.78
  4. Step 4: Simplify right side
    20,533.86x = 176,893,359.22
  5. Step 5: Solve for x
    x = 176,893,359.22/20,533.86
  6. Step 6: Final answer
    x = 8,614.72

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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.