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Finding the Fourth Proportional to 20,013.84, 30,014.52 and 7,535.60

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Solution

The fourth proportional to 20,013.84, 30,014.52 and 7,535.60 is: 11,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,013.84 : 30,014.52 = 7,535.60 : x
  2. Step 2: Convert to fraction form
    20,013.84/30,014.52 = 7,535.60/x
  3. Step 3: Cross multiply
    20,013.84x = 30,014.52 × 7,535.60
  4. Step 4: Simplify right side
    20,013.84x = 226,177,416.91
  5. Step 5: Solve for x
    x = 226,177,416.91/20,013.84
  6. Step 6: Final answer
    x = 11,301.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.