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Finding the Fourth Proportional to 25,823.76, 38,742.12 and 7,355.76

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Solution

The fourth proportional to 25,823.76, 38,742.12 and 7,355.76 is: 11,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,823.76 : 38,742.12 = 7,355.76 : x
  2. Step 2: Convert to fraction form
    25,823.76/38,742.12 = 7,355.76/x
  3. Step 3: Cross multiply
    25,823.76x = 38,742.12 × 7,355.76
  4. Step 4: Simplify right side
    25,823.76x = 284,977,736.61
  5. Step 5: Solve for x
    x = 284,977,736.61/25,823.76
  6. Step 6: Final answer
    x = 11,035.49

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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.