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Finding the Fourth Proportional to 14,627.70, 20,184.57 and 8,964

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Solution

The fourth proportional to 14,627.70, 20,184.57 and 8,964 is: 12,369.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,627.70 : 20,184.57 = 8,964 : x
  2. Step 2: Convert to fraction form
    14,627.70/20,184.57 = 8,964/x
  3. Step 3: Cross multiply
    14,627.70x = 20,184.57 × 8,964
  4. Step 4: Simplify right side
    14,627.70x = 180,934,485.48
  5. Step 5: Solve for x
    x = 180,934,485.48/14,627.70
  6. Step 6: Final answer
    x = 12,369.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.