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Finding the Fourth Proportional to 29,585.79, 40,828.73 and 16,157.21

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Solution

The fourth proportional to 29,585.79, 40,828.73 and 16,157.21 is: 22,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,585.79 : 40,828.73 = 16,157.21 : x
  2. Step 2: Convert to fraction form
    29,585.79/40,828.73 = 16,157.21/x
  3. Step 3: Cross multiply
    29,585.79x = 40,828.73 × 16,157.21
  4. Step 4: Simplify right side
    29,585.79x = 659,678,364.64
  5. Step 5: Solve for x
    x = 659,678,364.64/29,585.79
  6. Step 6: Final answer
    x = 22,297.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.