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Finding the Fourth Proportional to 14,540.46, 21,779.01 and 7,766.70

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Solution

The fourth proportional to 14,540.46, 21,779.01 and 7,766.70 is: 11,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,540.46 : 21,779.01 = 7,766.70 : x
  2. Step 2: Convert to fraction form
    14,540.46/21,779.01 = 7,766.70/x
  3. Step 3: Cross multiply
    14,540.46x = 21,779.01 × 7,766.70
  4. Step 4: Simplify right side
    14,540.46x = 169,151,036.97
  5. Step 5: Solve for x
    x = 169,151,036.97/14,540.46
  6. Step 6: Final answer
    x = 11,633.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.