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Finding the Fourth Proportional to 15,890.96, 23,842.70 and 6,032.85

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Solution

The fourth proportional to 15,890.96, 23,842.70 and 6,032.85 is: 9,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,890.96 : 23,842.70 = 6,032.85 : x
  2. Step 2: Convert to fraction form
    15,890.96/23,842.70 = 6,032.85/x
  3. Step 3: Cross multiply
    15,890.96x = 23,842.70 × 6,032.85
  4. Step 4: Simplify right side
    15,890.96x = 143,839,402.53
  5. Step 5: Solve for x
    x = 143,839,402.53/15,890.96
  6. Step 6: Final answer
    x = 9,051.65

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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.