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Finding the Fourth Proportional to 26,414.96, 39,628.58 and 7,696.98

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Solution

The fourth proportional to 26,414.96, 39,628.58 and 7,696.98 is: 11,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,414.96 : 39,628.58 = 7,696.98 : x
  2. Step 2: Convert to fraction form
    26,414.96/39,628.58 = 7,696.98/x
  3. Step 3: Cross multiply
    26,414.96x = 39,628.58 × 7,696.98
  4. Step 4: Simplify right side
    26,414.96x = 305,020,349.20
  5. Step 5: Solve for x
    x = 305,020,349.20/26,414.96
  6. Step 6: Final answer
    x = 11,547.26

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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.