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Finding the Fourth Proportional to 18,509.76, 25,546.32 and 14,560.80

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Solution

The fourth proportional to 18,509.76, 25,546.32 and 14,560.80 is: 20,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509.76 : 25,546.32 = 14,560.80 : x
  2. Step 2: Convert to fraction form
    18,509.76/25,546.32 = 14,560.80/x
  3. Step 3: Cross multiply
    18,509.76x = 25,546.32 × 14,560.80
  4. Step 4: Simplify right side
    18,509.76x = 371,974,856.26
  5. Step 5: Solve for x
    x = 371,974,856.26/18,509.76
  6. Step 6: Final answer
    x = 20,096.15

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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.