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Finding the Fourth Proportional to 17,944, 26,916.24 and 5,632

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Solution

The fourth proportional to 17,944, 26,916.24 and 5,632 is: 8,448.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,944 : 26,916.24 = 5,632 : x
  2. Step 2: Convert to fraction form
    17,944/26,916.24 = 5,632/x
  3. Step 3: Cross multiply
    17,944x = 26,916.24 × 5,632
  4. Step 4: Simplify right side
    17,944x = 151,592,263.68
  5. Step 5: Solve for x
    x = 151,592,263.68/17,944
  6. Step 6: Final answer
    x = 8,448.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.