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Finding the Fourth Proportional to 23,152.74, 31,958.94 and 14,078.22

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Solution

The fourth proportional to 23,152.74, 31,958.94 and 14,078.22 is: 19,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.74 : 31,958.94 = 14,078.22 : x
  2. Step 2: Convert to fraction form
    23,152.74/31,958.94 = 14,078.22/x
  3. Step 3: Cross multiply
    23,152.74x = 31,958.94 × 14,078.22
  4. Step 4: Simplify right side
    23,152.74x = 449,924,988.29
  5. Step 5: Solve for x
    x = 449,924,988.29/23,152.74
  6. Step 6: Final answer
    x = 19,432.90

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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.