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Finding the Fourth Proportional to 16,535.38, 24,804.42 and 7,765.51

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Solution

The fourth proportional to 16,535.38, 24,804.42 and 7,765.51 is: 11,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.38 : 24,804.42 = 7,765.51 : x
  2. Step 2: Convert to fraction form
    16,535.38/24,804.42 = 7,765.51/x
  3. Step 3: Cross multiply
    16,535.38x = 24,804.42 × 7,765.51
  4. Step 4: Simplify right side
    16,535.38x = 192,618,971.55
  5. Step 5: Solve for x
    x = 192,618,971.55/16,535.38
  6. Step 6: Final answer
    x = 11,648.90

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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.