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Finding the Fourth Proportional to 23,503.95, 32,441.49 and 14,546.16

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Solution

The fourth proportional to 23,503.95, 32,441.49 and 14,546.16 is: 20,077.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,503.95 : 32,441.49 = 14,546.16 : x
  2. Step 2: Convert to fraction form
    23,503.95/32,441.49 = 14,546.16/x
  3. Step 3: Cross multiply
    23,503.95x = 32,441.49 × 14,546.16
  4. Step 4: Simplify right side
    23,503.95x = 471,899,104.18
  5. Step 5: Solve for x
    x = 471,899,104.18/23,503.95
  6. Step 6: Final answer
    x = 20,077.44

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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.