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Finding the Fourth Proportional to 22,409.10, 33,597.16 and 7,614.04

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Solution

The fourth proportional to 22,409.10, 33,597.16 and 7,614.04 is: 11,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.10 : 33,597.16 = 7,614.04 : x
  2. Step 2: Convert to fraction form
    22,409.10/33,597.16 = 7,614.04/x
  3. Step 3: Cross multiply
    22,409.10x = 33,597.16 × 7,614.04
  4. Step 4: Simplify right side
    22,409.10x = 255,810,120.13
  5. Step 5: Solve for x
    x = 255,810,120.13/22,409.10
  6. Step 6: Final answer
    x = 11,415.46

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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.