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Finding the Fourth Proportional to 20,529.64, 30,802.65 and 7,382.98

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Solution

The fourth proportional to 20,529.64, 30,802.65 and 7,382.98 is: 11,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,529.64 : 30,802.65 = 7,382.98 : x
  2. Step 2: Convert to fraction form
    20,529.64/30,802.65 = 7,382.98/x
  3. Step 3: Cross multiply
    20,529.64x = 30,802.65 × 7,382.98
  4. Step 4: Simplify right side
    20,529.64x = 227,415,348.90
  5. Step 5: Solve for x
    x = 227,415,348.90/20,529.64
  6. Step 6: Final answer
    x = 11,077.42

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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.