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Finding the Fourth Proportional to 20,973.68, 31,446.84 and 9,724.32

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Solution

The fourth proportional to 20,973.68, 31,446.84 and 9,724.32 is: 14,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,973.68 : 31,446.84 = 9,724.32 : x
  2. Step 2: Convert to fraction form
    20,973.68/31,446.84 = 9,724.32/x
  3. Step 3: Cross multiply
    20,973.68x = 31,446.84 × 9,724.32
  4. Step 4: Simplify right side
    20,973.68x = 305,799,135.15
  5. Step 5: Solve for x
    x = 305,799,135.15/20,973.68
  6. Step 6: Final answer
    x = 14,580.14

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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.