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Finding the Fourth Proportional to 23,546.14, 32,490.02 and 15,055.80

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Solution

The fourth proportional to 23,546.14, 32,490.02 and 15,055.80 is: 20,774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,546.14 : 32,490.02 = 15,055.80 : x
  2. Step 2: Convert to fraction form
    23,546.14/32,490.02 = 15,055.80/x
  3. Step 3: Cross multiply
    23,546.14x = 32,490.02 × 15,055.80
  4. Step 4: Simplify right side
    23,546.14x = 489,163,243.12
  5. Step 5: Solve for x
    x = 489,163,243.12/23,546.14
  6. Step 6: Final answer
    x = 20,774.67

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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.