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Finding the Fourth Proportional to 14,786.90, 20,407.71 and 8,415.05

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Solution

The fourth proportional to 14,786.90, 20,407.71 and 8,415.05 is: 11,613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.90 : 20,407.71 = 8,415.05 : x
  2. Step 2: Convert to fraction form
    14,786.90/20,407.71 = 8,415.05/x
  3. Step 3: Cross multiply
    14,786.90x = 20,407.71 × 8,415.05
  4. Step 4: Simplify right side
    14,786.90x = 171,731,798.00
  5. Step 5: Solve for x
    x = 171,731,798.00/14,786.90
  6. Step 6: Final answer
    x = 11,613.78

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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.