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Finding the Fourth Proportional to 22,812.38, 31,482.32 and 12,741.05

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Solution

The fourth proportional to 22,812.38, 31,482.32 and 12,741.05 is: 17,583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.38 : 31,482.32 = 12,741.05 : x
  2. Step 2: Convert to fraction form
    22,812.38/31,482.32 = 12,741.05/x
  3. Step 3: Cross multiply
    22,812.38x = 31,482.32 × 12,741.05
  4. Step 4: Simplify right side
    22,812.38x = 401,117,722.82
  5. Step 5: Solve for x
    x = 401,117,722.82/22,812.38
  6. Step 6: Final answer
    x = 17,583.33

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Why These Related Problems?

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