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Finding the Fourth Proportional to 24,007, 33,129.54 and 13,396

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Solution

The fourth proportional to 24,007, 33,129.54 and 13,396 is: 18,486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,007 : 33,129.54 = 13,396 : x
  2. Step 2: Convert to fraction form
    24,007/33,129.54 = 13,396/x
  3. Step 3: Cross multiply
    24,007x = 33,129.54 × 13,396
  4. Step 4: Simplify right side
    24,007x = 443,803,317.84
  5. Step 5: Solve for x
    x = 443,803,317.84/24,007
  6. Step 6: Final answer
    x = 18,486.41

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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.