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Finding the Fourth Proportional to 23,152.50, 31,958.28 and 14,427.99

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Solution

The fourth proportional to 23,152.50, 31,958.28 and 14,427.99 is: 19,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.50 : 31,958.28 = 14,427.99 : x
  2. Step 2: Convert to fraction form
    23,152.50/31,958.28 = 14,427.99/x
  3. Step 3: Cross multiply
    23,152.50x = 31,958.28 × 14,427.99
  4. Step 4: Simplify right side
    23,152.50x = 461,093,744.26
  5. Step 5: Solve for x
    x = 461,093,744.26/23,152.50
  6. Step 6: Final answer
    x = 19,915.51

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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.