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Finding the Fourth Proportional to 14,765.83, 20,377.23 and 8,051.74

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Solution

The fourth proportional to 14,765.83, 20,377.23 and 8,051.74 is: 11,111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,765.83 : 20,377.23 = 8,051.74 : x
  2. Step 2: Convert to fraction form
    14,765.83/20,377.23 = 8,051.74/x
  3. Step 3: Cross multiply
    14,765.83x = 20,377.23 × 8,051.74
  4. Step 4: Simplify right side
    14,765.83x = 164,072,157.88
  5. Step 5: Solve for x
    x = 164,072,157.88/14,765.83
  6. Step 6: Final answer
    x = 11,111.61

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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.