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Finding the Fourth Proportional to 28,848, 39,811.20 and 17,667.84

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Solution

The fourth proportional to 28,848, 39,811.20 and 17,667.84 is: 24,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,848 : 39,811.20 = 17,667.84 : x
  2. Step 2: Convert to fraction form
    28,848/39,811.20 = 17,667.84/x
  3. Step 3: Cross multiply
    28,848x = 39,811.20 × 17,667.84
  4. Step 4: Simplify right side
    28,848x = 703,377,911.81
  5. Step 5: Solve for x
    x = 703,377,911.81/28,848
  6. Step 6: Final answer
    x = 24,382.21

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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.