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Finding the Fourth Proportional to 25,821.94, 38,734.35 and 7,352.50

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Solution

The fourth proportional to 25,821.94, 38,734.35 and 7,352.50 is: 11,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,821.94 : 38,734.35 = 7,352.50 : x
  2. Step 2: Convert to fraction form
    25,821.94/38,734.35 = 7,352.50/x
  3. Step 3: Cross multiply
    25,821.94x = 38,734.35 × 7,352.50
  4. Step 4: Simplify right side
    25,821.94x = 284,794,308.38
  5. Step 5: Solve for x
    x = 284,794,308.38/25,821.94
  6. Step 6: Final answer
    x = 11,029.16

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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.