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Finding the Fourth Proportional to 19,574.42, 29,361.27 and 7,887.34

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Solution

The fourth proportional to 19,574.42, 29,361.27 and 7,887.34 is: 11,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574.42 : 29,361.27 = 7,887.34 : x
  2. Step 2: Convert to fraction form
    19,574.42/29,361.27 = 7,887.34/x
  3. Step 3: Cross multiply
    19,574.42x = 29,361.27 × 7,887.34
  4. Step 4: Simplify right side
    19,574.42x = 231,582,319.32
  5. Step 5: Solve for x
    x = 231,582,319.32/19,574.42
  6. Step 6: Final answer
    x = 11,830.86

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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.