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Finding the Fourth Proportional to 25,206.26, 37,815.04 and 7,677.46

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Solution

The fourth proportional to 25,206.26, 37,815.04 and 7,677.46 is: 11,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,206.26 : 37,815.04 = 7,677.46 : x
  2. Step 2: Convert to fraction form
    25,206.26/37,815.04 = 7,677.46/x
  3. Step 3: Cross multiply
    25,206.26x = 37,815.04 × 7,677.46
  4. Step 4: Simplify right side
    25,206.26x = 290,323,457.00
  5. Step 5: Solve for x
    x = 290,323,457.00/25,206.26
  6. Step 6: Final answer
    x = 11,517.91

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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.