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Finding the Fourth Proportional to 19,828.38, 29,742.59 and 5,977.38

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Solution

The fourth proportional to 19,828.38, 29,742.59 and 5,977.38 is: 8,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.38 : 29,742.59 = 5,977.38 : x
  2. Step 2: Convert to fraction form
    19,828.38/29,742.59 = 5,977.38/x
  3. Step 3: Cross multiply
    19,828.38x = 29,742.59 × 5,977.38
  4. Step 4: Simplify right side
    19,828.38x = 177,782,762.61
  5. Step 5: Solve for x
    x = 177,782,762.61/19,828.38
  6. Step 6: Final answer
    x = 8,966.08

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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.