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Finding the Fourth Proportional to 13,523, 20,284.50 and 4,289

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Solution

The fourth proportional to 13,523, 20,284.50 and 4,289 is: 6,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523 : 20,284.50 = 4,289 : x
  2. Step 2: Convert to fraction form
    13,523/20,284.50 = 4,289/x
  3. Step 3: Cross multiply
    13,523x = 20,284.50 × 4,289
  4. Step 4: Simplify right side
    13,523x = 87,000,220.50
  5. Step 5: Solve for x
    x = 87,000,220.50/13,523
  6. Step 6: Final answer
    x = 6,433.50

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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.