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Finding the Fourth Proportional to 26,098.54, 39,142.88 and 7,378.43

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Solution

The fourth proportional to 26,098.54, 39,142.88 and 7,378.43 is: 11,066.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,098.54 : 39,142.88 = 7,378.43 : x
  2. Step 2: Convert to fraction form
    26,098.54/39,142.88 = 7,378.43/x
  3. Step 3: Cross multiply
    26,098.54x = 39,142.88 × 7,378.43
  4. Step 4: Simplify right side
    26,098.54x = 288,812,804.36
  5. Step 5: Solve for x
    x = 288,812,804.36/26,098.54
  6. Step 6: Final answer
    x = 11,066.25

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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.