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Finding the Fourth Proportional to 13,911.30, 20,842.29 and 11,557.53

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Solution

The fourth proportional to 13,911.30, 20,842.29 and 11,557.53 is: 17,315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.30 : 20,842.29 = 11,557.53 : x
  2. Step 2: Convert to fraction form
    13,911.30/20,842.29 = 11,557.53/x
  3. Step 3: Cross multiply
    13,911.30x = 20,842.29 × 11,557.53
  4. Step 4: Simplify right side
    13,911.30x = 240,885,391.94
  5. Step 5: Solve for x
    x = 240,885,391.94/13,911.30
  6. Step 6: Final answer
    x = 17,315.81

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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.