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Finding the Fourth Proportional to 20,353.05, 30,533.93 and 6,312.77

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Solution

The fourth proportional to 20,353.05, 30,533.93 and 6,312.77 is: 9,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,353.05 : 30,533.93 = 6,312.77 : x
  2. Step 2: Convert to fraction form
    20,353.05/30,533.93 = 6,312.77/x
  3. Step 3: Cross multiply
    20,353.05x = 30,533.93 × 6,312.77
  4. Step 4: Simplify right side
    20,353.05x = 192,753,631.23
  5. Step 5: Solve for x
    x = 192,753,631.23/20,353.05
  6. Step 6: Final answer
    x = 9,470.50

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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.