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Finding the Fourth Proportional to 41,523, 62,284.50 and 12,339

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Solution

The fourth proportional to 41,523, 62,284.50 and 12,339 is: 18,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,523 : 62,284.50 = 12,339 : x
  2. Step 2: Convert to fraction form
    41,523/62,284.50 = 12,339/x
  3. Step 3: Cross multiply
    41,523x = 62,284.50 × 12,339
  4. Step 4: Simplify right side
    41,523x = 768,528,445.50
  5. Step 5: Solve for x
    x = 768,528,445.50/41,523
  6. Step 6: Final answer
    x = 18,508.50

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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.