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Finding the Fourth Proportional to 14,583.84, 20,123.42 and 8,295

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Solution

The fourth proportional to 14,583.84, 20,123.42 and 8,295 is: 11,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583.84 : 20,123.42 = 8,295 : x
  2. Step 2: Convert to fraction form
    14,583.84/20,123.42 = 8,295/x
  3. Step 3: Cross multiply
    14,583.84x = 20,123.42 × 8,295
  4. Step 4: Simplify right side
    14,583.84x = 166,923,727.43
  5. Step 5: Solve for x
    x = 166,923,727.43/14,583.84
  6. Step 6: Final answer
    x = 11,445.80

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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.