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Finding the Fourth Proportional to 14,529.62, 21,755.28 and 9,236

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Solution

The fourth proportional to 14,529.62, 21,755.28 and 9,236 is: 13,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,529.62 : 21,755.28 = 9,236 : x
  2. Step 2: Convert to fraction form
    14,529.62/21,755.28 = 9,236/x
  3. Step 3: Cross multiply
    14,529.62x = 21,755.28 × 9,236
  4. Step 4: Simplify right side
    14,529.62x = 200,931,766.08
  5. Step 5: Solve for x
    x = 200,931,766.08/14,529.62
  6. Step 6: Final answer
    x = 13,829.11

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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.