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Finding the Fourth Proportional to 13,575.70, 20,364.18 and 4,811.50

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Solution

The fourth proportional to 13,575.70, 20,364.18 and 4,811.50 is: 7,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.70 : 20,364.18 = 4,811.50 : x
  2. Step 2: Convert to fraction form
    13,575.70/20,364.18 = 4,811.50/x
  3. Step 3: Cross multiply
    13,575.70x = 20,364.18 × 4,811.50
  4. Step 4: Simplify right side
    13,575.70x = 97,982,252.07
  5. Step 5: Solve for x
    x = 97,982,252.07/13,575.70
  6. Step 6: Final answer
    x = 7,217.47

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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.