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Finding the Fourth Proportional to 24,692.52, 37,038.76 and 8,276.52

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Solution

The fourth proportional to 24,692.52, 37,038.76 and 8,276.52 is: 12,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.52 : 37,038.76 = 8,276.52 : x
  2. Step 2: Convert to fraction form
    24,692.52/37,038.76 = 8,276.52/x
  3. Step 3: Cross multiply
    24,692.52x = 37,038.76 × 8,276.52
  4. Step 4: Simplify right side
    24,692.52x = 306,552,037.92
  5. Step 5: Solve for x
    x = 306,552,037.92/24,692.52
  6. Step 6: Final answer
    x = 12,414.77

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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.