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Finding the Fourth Proportional to 21,200.32, 31,800.72 and 6,409.36

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Solution

The fourth proportional to 21,200.32, 31,800.72 and 6,409.36 is: 9,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.32 : 31,800.72 = 6,409.36 : x
  2. Step 2: Convert to fraction form
    21,200.32/31,800.72 = 6,409.36/x
  3. Step 3: Cross multiply
    21,200.32x = 31,800.72 × 6,409.36
  4. Step 4: Simplify right side
    21,200.32x = 203,822,262.74
  5. Step 5: Solve for x
    x = 203,822,262.74/21,200.32
  6. Step 6: Final answer
    x = 9,614.11

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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.