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Finding the Fourth Proportional to 26,624.85, 39,942 and 9,090.57

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Solution

The fourth proportional to 26,624.85, 39,942 and 9,090.57 is: 13,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,624.85 : 39,942 = 9,090.57 : x
  2. Step 2: Convert to fraction form
    26,624.85/39,942 = 9,090.57/x
  3. Step 3: Cross multiply
    26,624.85x = 39,942 × 9,090.57
  4. Step 4: Simplify right side
    26,624.85x = 363,095,546.94
  5. Step 5: Solve for x
    x = 363,095,546.94/26,624.85
  6. Step 6: Final answer
    x = 13,637.47

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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.