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Finding the Fourth Proportional to 22,788.36, 34,200.77 and 9,649.89

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Solution

The fourth proportional to 22,788.36, 34,200.77 and 9,649.89 is: 14,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,788.36 : 34,200.77 = 9,649.89 : x
  2. Step 2: Convert to fraction form
    22,788.36/34,200.77 = 9,649.89/x
  3. Step 3: Cross multiply
    22,788.36x = 34,200.77 × 9,649.89
  4. Step 4: Simplify right side
    22,788.36x = 330,033,620.17
  5. Step 5: Solve for x
    x = 330,033,620.17/22,788.36
  6. Step 6: Final answer
    x = 14,482.55

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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.