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Finding the Fourth Proportional to 14,770.89, 20,384.00 and 8,056.47

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Solution

The fourth proportional to 14,770.89, 20,384.00 and 8,056.47 is: 11,118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770.89 : 20,384.00 = 8,056.47 : x
  2. Step 2: Convert to fraction form
    14,770.89/20,384.00 = 8,056.47/x
  3. Step 3: Cross multiply
    14,770.89x = 20,384.00 × 8,056.47
  4. Step 4: Simplify right side
    14,770.89x = 164,223,044.20
  5. Step 5: Solve for x
    x = 164,223,044.20/14,770.89
  6. Step 6: Final answer
    x = 11,118.02

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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.