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Finding the Fourth Proportional to 15,428.89, 23,125.84 and 6,538.68

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Solution

The fourth proportional to 15,428.89, 23,125.84 and 6,538.68 is: 9,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,428.89 : 23,125.84 = 6,538.68 : x
  2. Step 2: Convert to fraction form
    15,428.89/23,125.84 = 6,538.68/x
  3. Step 3: Cross multiply
    15,428.89x = 23,125.84 × 6,538.68
  4. Step 4: Simplify right side
    15,428.89x = 151,212,467.49
  5. Step 5: Solve for x
    x = 151,212,467.49/15,428.89
  6. Step 6: Final answer
    x = 9,800.61

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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.