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Finding the Fourth Proportional to 22,465.88, 33,706.12 and 10,780.02

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Solution

The fourth proportional to 22,465.88, 33,706.12 and 10,780.02 is: 16,173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.88 : 33,706.12 = 10,780.02 : x
  2. Step 2: Convert to fraction form
    22,465.88/33,706.12 = 10,780.02/x
  3. Step 3: Cross multiply
    22,465.88x = 33,706.12 × 10,780.02
  4. Step 4: Simplify right side
    22,465.88x = 363,352,647.72
  5. Step 5: Solve for x
    x = 363,352,647.72/22,465.88
  6. Step 6: Final answer
    x = 16,173.53

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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.