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Finding the Fourth Proportional to 30,804.24, 42,509.73 and 17,375.40

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Solution

The fourth proportional to 30,804.24, 42,509.73 and 17,375.40 is: 23,977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,804.24 : 42,509.73 = 17,375.40 : x
  2. Step 2: Convert to fraction form
    30,804.24/42,509.73 = 17,375.40/x
  3. Step 3: Cross multiply
    30,804.24x = 42,509.73 × 17,375.40
  4. Step 4: Simplify right side
    30,804.24x = 738,623,562.64
  5. Step 5: Solve for x
    x = 738,623,562.64/30,804.24
  6. Step 6: Final answer
    x = 23,977.98

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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.