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Finding the Fourth Proportional to 12,042.81, 16,626.51 and 9,535.05

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Solution

The fourth proportional to 12,042.81, 16,626.51 and 9,535.05 is: 13,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.81 : 16,626.51 = 9,535.05 : x
  2. Step 2: Convert to fraction form
    12,042.81/16,626.51 = 9,535.05/x
  3. Step 3: Cross multiply
    12,042.81x = 16,626.51 × 9,535.05
  4. Step 4: Simplify right side
    12,042.81x = 158,534,604.18
  5. Step 5: Solve for x
    x = 158,534,604.18/12,042.81
  6. Step 6: Final answer
    x = 13,164.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.