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Finding the Fourth Proportional to 19,973.64, 29,933.73 and 9,446.46

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Solution

The fourth proportional to 19,973.64, 29,933.73 and 9,446.46 is: 14,157.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,973.64 : 29,933.73 = 9,446.46 : x
  2. Step 2: Convert to fraction form
    19,973.64/29,933.73 = 9,446.46/x
  3. Step 3: Cross multiply
    19,973.64x = 29,933.73 × 9,446.46
  4. Step 4: Simplify right side
    19,973.64x = 282,767,783.10
  5. Step 5: Solve for x
    x = 282,767,783.10/19,973.64
  6. Step 6: Final answer
    x = 14,157.05

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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.