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Finding the Fourth Proportional to 14,771.42, 20,384.43 and 8,483.84

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Solution

The fourth proportional to 14,771.42, 20,384.43 and 8,483.84 is: 11,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.42 : 20,384.43 = 8,483.84 : x
  2. Step 2: Convert to fraction form
    14,771.42/20,384.43 = 8,483.84/x
  3. Step 3: Cross multiply
    14,771.42x = 20,384.43 × 8,483.84
  4. Step 4: Simplify right side
    14,771.42x = 172,938,200.19
  5. Step 5: Solve for x
    x = 172,938,200.19/14,771.42
  6. Step 6: Final answer
    x = 11,707.62

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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.