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Finding the Fourth Proportional to 14,783.14, 20,400.34 and 8,068.85

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Solution

The fourth proportional to 14,783.14, 20,400.34 and 8,068.85 is: 11,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783.14 : 20,400.34 = 8,068.85 : x
  2. Step 2: Convert to fraction form
    14,783.14/20,400.34 = 8,068.85/x
  3. Step 3: Cross multiply
    14,783.14x = 20,400.34 × 8,068.85
  4. Step 4: Simplify right side
    14,783.14x = 164,607,283.41
  5. Step 5: Solve for x
    x = 164,607,283.41/14,783.14
  6. Step 6: Final answer
    x = 11,134.80

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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.