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Finding the Fourth Proportional to 22,245.90, 30,696.30 and 13,291.50

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Solution

The fourth proportional to 22,245.90, 30,696.30 and 13,291.50 is: 18,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,245.90 : 30,696.30 = 13,291.50 : x
  2. Step 2: Convert to fraction form
    22,245.90/30,696.30 = 13,291.50/x
  3. Step 3: Cross multiply
    22,245.90x = 30,696.30 × 13,291.50
  4. Step 4: Simplify right side
    22,245.90x = 407,999,871.45
  5. Step 5: Solve for x
    x = 407,999,871.45/22,245.90
  6. Step 6: Final answer
    x = 18,340.45

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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.