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Finding the Fourth Proportional to 23,059.75, 31,810.42 and 14,558.82

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Solution

The fourth proportional to 23,059.75, 31,810.42 and 14,558.82 is: 20,083.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,059.75 : 31,810.42 = 14,558.82 : x
  2. Step 2: Convert to fraction form
    23,059.75/31,810.42 = 14,558.82/x
  3. Step 3: Cross multiply
    23,059.75x = 31,810.42 × 14,558.82
  4. Step 4: Simplify right side
    23,059.75x = 463,122,019.85
  5. Step 5: Solve for x
    x = 463,122,019.85/23,059.75
  6. Step 6: Final answer
    x = 20,083.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.