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Finding the Fourth Proportional to 14,693.40, 22,007.70 and 7,759.80

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Solution

The fourth proportional to 14,693.40, 22,007.70 and 7,759.80 is: 11,622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.40 : 22,007.70 = 7,759.80 : x
  2. Step 2: Convert to fraction form
    14,693.40/22,007.70 = 7,759.80/x
  3. Step 3: Cross multiply
    14,693.40x = 22,007.70 × 7,759.80
  4. Step 4: Simplify right side
    14,693.40x = 170,775,350.46
  5. Step 5: Solve for x
    x = 170,775,350.46/14,693.40
  6. Step 6: Final answer
    x = 11,622.59

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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.