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Finding the Fourth Proportional to 24,898.32, 37,329.24 and 11,743.32

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Solution

The fourth proportional to 24,898.32, 37,329.24 and 11,743.32 is: 17,606.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,898.32 : 37,329.24 = 11,743.32 : x
  2. Step 2: Convert to fraction form
    24,898.32/37,329.24 = 11,743.32/x
  3. Step 3: Cross multiply
    24,898.32x = 37,329.24 × 11,743.32
  4. Step 4: Simplify right side
    24,898.32x = 438,369,210.68
  5. Step 5: Solve for x
    x = 438,369,210.68/24,898.32
  6. Step 6: Final answer
    x = 17,606.38

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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.