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Finding the Fourth Proportional to 22,661.25, 33,985.80 and 14,328.78

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Solution

The fourth proportional to 22,661.25, 33,985.80 and 14,328.78 is: 21,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,661.25 : 33,985.80 = 14,328.78 : x
  2. Step 2: Convert to fraction form
    22,661.25/33,985.80 = 14,328.78/x
  3. Step 3: Cross multiply
    22,661.25x = 33,985.80 × 14,328.78
  4. Step 4: Simplify right side
    22,661.25x = 486,975,051.32
  5. Step 5: Solve for x
    x = 486,975,051.32/22,661.25
  6. Step 6: Final answer
    x = 21,489.33

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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.