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Finding the Fourth Proportional to 25,762.56, 38,650.56 and 7,294.56

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Solution

The fourth proportional to 25,762.56, 38,650.56 and 7,294.56 is: 10,943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,762.56 : 38,650.56 = 7,294.56 : x
  2. Step 2: Convert to fraction form
    25,762.56/38,650.56 = 7,294.56/x
  3. Step 3: Cross multiply
    25,762.56x = 38,650.56 × 7,294.56
  4. Step 4: Simplify right side
    25,762.56x = 281,938,828.95
  5. Step 5: Solve for x
    x = 281,938,828.95/25,762.56
  6. Step 6: Final answer
    x = 10,943.74

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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.