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Finding the Fourth Proportional to 22,673.96, 33,954.38 and 14,328.80

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Solution

The fourth proportional to 22,673.96, 33,954.38 and 14,328.80 is: 21,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,673.96 : 33,954.38 = 14,328.80 : x
  2. Step 2: Convert to fraction form
    22,673.96/33,954.38 = 14,328.80/x
  3. Step 3: Cross multiply
    22,673.96x = 33,954.38 × 14,328.80
  4. Step 4: Simplify right side
    22,673.96x = 486,525,448.50
  5. Step 5: Solve for x
    x = 486,525,448.50/22,673.96
  6. Step 6: Final answer
    x = 21,457.45

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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.