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Finding the Fourth Proportional to 15,890.67, 23,842.28 and 6,032.57

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Solution

The fourth proportional to 15,890.67, 23,842.28 and 6,032.57 is: 9,051.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,890.67 : 23,842.28 = 6,032.57 : x
  2. Step 2: Convert to fraction form
    15,890.67/23,842.28 = 6,032.57/x
  3. Step 3: Cross multiply
    15,890.67x = 23,842.28 × 6,032.57
  4. Step 4: Simplify right side
    15,890.67x = 143,830,073.69
  5. Step 5: Solve for x
    x = 143,830,073.69/15,890.67
  6. Step 6: Final answer
    x = 9,051.23

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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.