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Finding the Fourth Proportional to 15,735.81, 23,607.13 and 7,842.62

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Solution

The fourth proportional to 15,735.81, 23,607.13 and 7,842.62 is: 11,765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.81 : 23,607.13 = 7,842.62 : x
  2. Step 2: Convert to fraction form
    15,735.81/23,607.13 = 7,842.62/x
  3. Step 3: Cross multiply
    15,735.81x = 23,607.13 × 7,842.62
  4. Step 4: Simplify right side
    15,735.81x = 185,141,638.06
  5. Step 5: Solve for x
    x = 185,141,638.06/15,735.81
  6. Step 6: Final answer
    x = 11,765.63

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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.