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Finding the Fourth Proportional to 24,144, 33,320.64 and 14,209.92

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Solution

The fourth proportional to 24,144, 33,320.64 and 14,209.92 is: 19,610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144 : 33,320.64 = 14,209.92 : x
  2. Step 2: Convert to fraction form
    24,144/33,320.64 = 14,209.92/x
  3. Step 3: Cross multiply
    24,144x = 33,320.64 × 14,209.92
  4. Step 4: Simplify right side
    24,144x = 473,483,628.75
  5. Step 5: Solve for x
    x = 473,483,628.75/24,144
  6. Step 6: Final answer
    x = 19,610.82

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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.