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Finding the Fourth Proportional to 23,025, 31,774.86 and 14,652.84

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Solution

The fourth proportional to 23,025, 31,774.86 and 14,652.84 is: 20,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,025 : 31,774.86 = 14,652.84 : x
  2. Step 2: Convert to fraction form
    23,025/31,774.86 = 14,652.84/x
  3. Step 3: Cross multiply
    23,025x = 31,774.86 × 14,652.84
  4. Step 4: Simplify right side
    23,025x = 465,591,939.60
  5. Step 5: Solve for x
    x = 465,591,939.60/23,025
  6. Step 6: Final answer
    x = 20,221.15

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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.